How to calculate square meters. Calculation of wall area for wallpapering

From time to time we face the problem of how to calculate square meters: when calculating payment for utilities or during repairs, when you need to calculate how many rolls of wallpaper you need to paste over the walls, or how many cans of paint.

In fact, all these data are indicated in the technical passport, which gives a clear layout of the apartment, indicates the number of square meters of each room and the total area of the apartment.

How to calculate square meters of walls

If you don’t have a passport, but you still need to find out, for example, how to calculate the square meters of walls, then it’s actually not so difficult to do this. For this you will need school knowledge geometry. Namely, the formula for the area of a rectangle is S= a*b. That is, you need to multiply the height of your walls by the width. To do this, do the following:

Measure the width of the wall. This is best done along the floor or ceiling lines, as these lines are the most perpendicular.
Change wall height. This is the distance from floor to ceiling. As a rule, in "Khrushchev" it is 2.5 m, in "Brezhnev" - 3 m, in "Stalinka" - 3.5 or 4 m. But it is best to measure it yourself, so as not to miscalculate.
Find out the area. The resulting values \u200b\u200bshould be multiplied among themselves - and you have the sum of square meters of one wall.
The amount of areas. Since there is not one wall in the room, but four, the same operations must be done with the rest of the walls, and then add up the resulting 4 areas. As a result, you will have square meters of the walls of the entire room.
Subtract excess. Each room has at least one entrance. AT modern apartments redevelopment with different arched and other openings is very fashionable. Naturally, if you need to calculate the number of wallpaper rolls, then you do not need this distance. Therefore, measure the height and width of the opening, multiply them and subtract the resulting number from the total number of meters of walls.

As you can see, there is nothing complicated about this. If you are interested in how to calculate the square meters of a room, then this is even easier.

How to calculate the square meters of a room

The basic formula is still the same. Only now we need the length and width of the floor.

We measure the width. If you have furniture along the wall, do not immediately drag it somewhere. You can easily measure the width along the wall or ceiling - the room consists of rectangles, and its parallel sides are equal.
We measure the length. We measure the adjacent wall / floor / ceiling.
We find the area. We multiply the received numbers - and that's it.

It's that simple.

The procedure for carrying out repairs in the room requires a mandatory calculation of the area of \u200b\u200bthe walls, ceiling and floor. Since at the time of purchase building materials these values help not to be mistaken in their number. We will talk about methods and examples of calculating the area of \u200b\u200bthe room further.

Reasons for calculating the area of \u200b\u200bthe room

There are a large number of reasons why the area of \u200b\u200bthe walls, ceiling or floor in a room is determined. In some cases, data on the total area of the room is required. We suggest that you familiarize yourself with the most common reasons for determining the area of \u200b\u200ba room or its individual parts:

if installation work is planned suspended ceilings, then it is necessary to determine the total area of \u200b\u200bthe ceiling, to determine the amount of materials used in the work;

during installation stretch ceilings, you also need to calculate the total area of \u200b\u200bthe ceiling in order to pre-plan material resources;
for painting or finishing the ceiling, you should also know its area, almost all paint and varnish products and primers have technical specifications consumption rate per square meter;
finishing walls with drywall requires calculating the total area of \u200b\u200bthe walls to purchase the right amount of material;
when hiring builders, for example, to finish the floor with tiles, each square meter has a certain cost, which is calculated at the end of the work;
when selling a house or when decorating it, such a parameter as a living area, the area of \u200b\u200bthe kitchen and other rooms is also of particular importance.

Room area: calculating floor area

To determine the floor area, there are different reasons: repair and purchase of materials for its decoration, thermal insulation, calculation usable area etc.

The easiest way to determine the area of \u200b\u200ba room is square or rectangular shape. In this case, you will need the value of the length and width of the floor, which are multiplied by each other. This option does not require the release of the room from cabinets and other furniture. It is enough to simply measure the distance. However, if there is a fireplace in the room, its area should be subtracted from the total result obtained.

In principle, all items that are permanently on the floor and cannot be moved, such as built-in wardrobes, are calculated from the total floor area.

It seems more difficult to calculate the floor area in a room that has irregular shape. Standard rooms are, of course, rectangular or square in shape, although there are rooms with different kind niches, recesses, arches, ledges, etc. This option for calculating the floor area is more complicated, since it requires calculating the area of \u200b\u200bthe figures that make up the room separately.

To calculate the total area, you should divide the space into several regular shapes, in the form of rectangles, trapezoids, squares, etc. For example, if the room is L-shaped, then it is enough to divide it into two rectangles, calculate the area of each of them and summarize the results.

If the room has an L-shape, but it does not run at a right angle, then in addition to two rectangles, it also contains a triangular space, the area of \u200b\u200bwhich is also calculated. To calculate the area of a triangle, it is enough to multiply one leg by another.

In the presence of semicircular fragments in the form of cylindrical or segmental particles, the calculations become more complicated. To calculate the floor area in such a room, it is also necessary to divide the space into several parts, the area of \u200b\u200bwhich is calculated separately.

There are options for rooms that have different floor levels, that is, elevations or slopes. Thus, the room is divided into several zones. For example, in the kitchen there is a dining room and a working part. The same thing happens with the ceiling, for example, multi-level. To calculate the floor area with ledges or hills, you should again divide the space into parts in the form of rectangles or squares, and measure those very protrusions with a ruler and calculate their area. In this way, it will be possible to calculate the total area of \u200b\u200bthe room.

Please note that in this case it is preferable to use a tape measure, which is installed near the base. In addition, you will need a pencil and a notebook to write down all the values. As a result, buying paint and determining the amount finishing material for the floor will be completed quickly.

Do not measure from the wall as it may be curved and will cause inaccuracies in the floor area determination process. Particularly difficult are the works on determining the floor area, on which there are ledges in the form of a semicircle or wave. This situation involves measuring each of the arcs, finding the radii and splitting the area into several geometric shapes. By determining the area for each of them, the general formula for the asymmetric segment is calculated.

Determining the area of a rectangular room and ceiling

Rectangular room is the most typical and common option. To calculate the area, it is enough to multiply the length of the room by its width. For example, if the length of the room is 3.40 m and its width is 5.20 m, then 3.40x5.20 is enough to determine the area of \u200b\u200bthe ceiling, the result will be 17.68 meters square area. To calculate the perimeter of the ceiling, another formula is used, which implies the sum of twice its length and width. That is, the perimeter of the ceiling is equal to 2x3.40 + 2x5.20 = 17.2 m.

Therefore, in the process of purchasing profiles, 17.2 meters of material will be required. However, it is recommended, even when making the most accurate calculations, to buy material with a margin of 10-15 percent, to compensate for various kinds of mechanical damage and joints.

What is the area of the room in which there are niches and ledges

To determine the area of \u200b\u200bsuch a room, you should work hard and perform the following actions:

1. Make a project of the room, taking into account all the design features.

2. Measure and mark heights and lengths for all flat walls.

3. Using a ruler and a square, divide the space into several zones, in the form of regular shapes.

4. Each of the sides of the figure should be measured and marked in the project.

5. According to the formula for calculating the area of \u200b\u200ba figure, determine the values \u200b\u200bof each of them and summarize the results.

How to determine the area of a room with uneven walls

If there is a room in which the walls look like polyhedrons or indirect disproportionate figures, the calculations are much more difficult. Measuring the perimeter in such a room is quite simple. You should use a tape measure and walk with it throughout the room, measuring each of the sections separately.

The area of the room is determined by drawing and designing the room. After the sketch is ready, we break the space in such a way as to get maximum amount proportional figures in the form of a square, triangle or rectangle.

In order to determine the area of a segment that has the shape of a rectangle with identical edges, it is enough to measure the size of the legs, which are multiplied by each other and divided in half. That is, to determine the area of a triangular segment with legs of 0.5 and 0.9 m, the following calculations should be carried out:

0.5x0.9 / 2 \u003d 0.225 square meters.

How to calculate the area of a room in which there is a multi-level ceiling

The ceiling, on which there are ledges, is more difficult to calculate, but it is quite realistic. There are multi-tiered ceilings that are in the form of straight lines, their calculation is easy to carry out, but there are structures that require special care, since they consist of arcuate or wavy fragments for the calculation of which special efforts are required.

It is too long and costly to calculate each of the sections, especially since in the end it will not always turn out correct result. After all, the arcs designed on the ceiling can be arbitrary.

The easiest way to determine the area of the room is by the total area of \u200b\u200bthe floor. To do this, you must perform a series of actions:

1. Measure all straight wall sections.

It is preferable to take measurements closer to the ceiling, as the length of the wall above and below the room may differ.

2. Determine the floor area using the previously indicated methods.

3. On each of the vertical sections, measure their height and length and multiply these figures.

4. Add them to common sense floor area.

Determination of the total area of the room

In order to answer the question of how to find out the area of \u200b\u200ba room in square meters, we suggest that you read the instructions that will help you complete this task:

1. Take care of cleaning the space near the walls.

The walls of the room should be freely accessible. Thus, the correctness and accuracy of the measurement will increase. If possible, it is better to free the entire room, since in carrying out certain calculations it will be necessary to measure the central sections.

2. Identify areas in the room that have the correct shape.

If the room looks like a rectangle, then it does not need to be divided. Otherwise, the room is divided into shapes in the form of squares, semicircles, trapezoids, triangles or rectangles.

3. Make a sketch of the room, so it will become easier to work.

Measurement of the area of the room must be carried out according to the sketch, on which all measurements are marked. Tip: In the absence of paper and if you need an urgent measurement, use the adhesive tape that is attached to each wall.

4. Length and width of the room, area.

Each wall should be measured in width and length preferably twice. In order not to measure the entire wall as a whole, it must be divided into several fragments, and as a result, the results obtained should be summarized.

In order to make sure that the calculation is correct, if there is free time, measurements are taken twice.

5. Determine the area of each of the plots:

the area of a rectangle is equal to the multiplication of its length by its width;
the area of a square is one of its sides in a square;
the area of the triangle - the height and side, are multiplied among themselves and the resulting value is divided by two;
The area of a circle is pi multiplied by the radius squared.

6. The areas of previously defined sections are added together.

Determining the minimum area of a room

1. Plots in the form of a rectangle.

Using a tape measure, the length and width of the plot are measured, they are multiplied together. Data are most often rounded to the nearest centimeter.

2. Triangle.

The area of a given area is determined by multiplying one side of the triangle by its height, that is, the line drawn from the top of the triangle, which divides it into two equal parts. The resulting value is doubled.

3. Circle or semicircle.

Radius definition. This value is squared, multiplied by the number Pi. In the presence of a semicircle, the value is divided into two.

In addition, there are special online calculators, allowing you to carry out all calculations quickly and efficiently. To work with them, it is enough to select the shape of the room section, measure it with a tape measure and enter the data. The program will do everything necessary calculations and determine the area.

Optimal room area

Each room has its own size, and during the planning of the house, this factor is taken into account in accordance with their purpose. The minimum value of the area of an ordinary living room is eight square meters.

Square common room or living room should be from 13 to 23 square meters. The bedroom should be located in the corner of the house, and not be a walk-through room.

The minimum height of the living space is 240 cm. It is not recommended to equip rooms with a height of more than 300 cm, since they are completely impractical for heating them in winter time will require a large amount of investment.

Each room should be different natural light. At least 30% of all walls should be windows. Please note that it is preferable to install windows on south side, because in winter, on north side, they will provoke large heat losses.

If the living area of a house or apartment is from 15 to 55 square meters, then the minimum kitchen area should be 6 square meters. When planning a kitchen in buildings with a living area of more than 55 square meters, the kitchen should occupy at least a fifth of the entire house.

If the kitchen occupies more than 10 square meters, it is possible to use it as a dining room or a room for receiving guests. The minimum width of the hallway is 140 cm, it must also have natural light.

For a children's room, an area of \u200b\u200b10-15 square meters is enough. The smallest should be the bathroom and toilet. Their area is equal to 4-8 square meters.

Almost every person must have heard the expression "linear meter". For many, this definition remains quite complicated, since it is not at all clear what is the difference between sq. m. from the usual. What is the conversation about?

One linear meter equals the usual length of one meter. It is used to measure goods that have a certain width, for example, linoleum. It is much easier to calculate the cost of goods, taking running meters as a basis, than to calculate the cost of a square one.

For example, you need to buy in the store carpet covering, 2.5 wide and a certain length. Make a calculation of 1 m2, such a segment is not very convenient. To do this, you need to determine the area of \u200b\u200bthe product. Then divide it into squares. In other words, it is necessary to perform complex mathematical calculations.

It's much easier to do calculations on a per-square basis. To determine the cost of the goods, you will need to multiply the length of the segment of the carpet by the number of meters.

There is a fairly large list of goods in which the cost is calculated by the number of running meters. These include.

Fabrics.
Linoleum.
Carpet.
Finishing film.
Roll polyethylene.
Electric wires.
All kinds of pipes.
Various fences.
Fences.

Furniture calculation

A lot of consumers believe that the calculation by running meters applies only to roll materials. However, this opinion is not entirely correct. When buying a product, we often come across a certain roll width. Linear very often determine the cost of furniture.

To make it clear, let's look at the following example.

The furniture manufacturer made an approximate calculation. To completely fill the three-meter kitchen, taking into account all the details of the furniture, he will need 30,000 rubles. Therefore, the cost of 1 m of furniture will be 10,000 rubles. In other words, such a cost will correspond to the price of one running meter. Based on such fairly simple mathematical calculations, the furniture manufacturer can tell the customer what the cost of a set of furniture of the corresponding sample will be.

However, it is necessary to take into account one important nuance. When calculating the price m, only the cost of the cheapest fittings and material was taken into account. Sometimes the cost of fittings is not included in the calculation at all.

Therefore, if you are made a very tempting offer, you must definitely find out what material the product is made of, what accessories are installed on it. In this way, quite often attract new customers.

How many mm in a linear meter

As already mentioned, one linear meter is equal to one standard meter. This means that at 1 running meter 1000 mm.

cheat sheet

So, to make it easier to deal with units of measurement, they can be summarized in one table, in which their ratio will be visible, and it will be quite easy to convert one unit to another.

What does the term "square meter" mean?

This unit is designed to calculate the area of a square, in which each of the sides will be 1 meter. To determine the size of the area, you need to multiply the height and length of the product. For designation, the short form is used - sq. m.

Today, this unit is found in our lives almost everywhere. The most obvious example is the dimensions of a dwelling. In other words, if we are talking about an apartment of 16 m2, then the floor area is equal to this value.

The square meter is most commonly found in the construction industry. To determine the area of a wall that is 6 meters long and 4 meters high, simply multiply six by four. It turns out that the area of \u200b\u200bthe wall is 24 m2.

The area is an important value, which is often operated by land owners. It is also used by farmers, builders and many others. What is such a value and how is it calculated? How much area is occupied by a square meter and how to calculate it?

Definition

Area is a two-dimensional characteristic of space that determines the size of geometric shapes. It is used in medicine, mathematics, agriculture, engineering. In geography, the value is used to determine the size of lakes and countries, as well as for comparative characteristics cities and different areas. Also, using the area, the population density in a certain area is determined. How many square meters in 1 ha? To find out, you need to understand the units of measurement.

area units

There are several basic units by which area is measured. They allow you to imagine the scale of the measured territories. One of the most common values is square meter (m 2). It is often used to estimate the areas of residential, office and industrial premises. Yes, 1 sq. m is equal to a section of the plane, each side of which has a length of 1 m. To understand how many square centimeters are in a square meter, it is worth getting acquainted with units of measurement.

There are such quantities:

Single square. Such a unit is a square in which the sides are equal to a certain unit. Unit is equal to its area.
Ar. It is also called a hundred. Used to measure sufficiently large objects. One are equals 100 sq. m.
Hectare. Typically, hectares are used in real estate appraisals. If translated into square meters, one hectare contains 10 thousand. sq. m.
Acre. Its value is 4046.86 sq. m. Such a value occurred as a result of simple measurements. Previously, she designated the area that a peasant can dig up in a day. At the same time, 2 oxen should have been in his team.
Barn. This value is used by nuclear physicists. It is used to measure the cross section of atoms. So, 1 barn equals 10⁻²⁸ sq. m. You can ask - how much is this? If you insert 28 zeros after the decimal point, and only then one, you get a clear answer.

The square meter is especially popular for solving everyday problems. This value is worth considering in more detail. It will also be useful to learn how to determine the size of the territory using simple calculations.

Area definition

Most often, with the help of a square meter, the floor area of \u200b\u200bpremises, as well as fields, is calculated. for various purposes. For example, you can measure a football field or a living room. This can be done using a regular tape measure or measuring tape. The size of a plot of territory is calculated quite simply - it is necessary to multiply the valley of the measured territory by its width.

Area measurement

To measure the area of a certain territory, it is worth choosing a measuring tape. Its use will make the measurement process easier and faster. If you have a tape measure or tape that measures in inches, you should first carry out all the necessary calculations, and then convert inches to square meters.

Features of measuring a piece of space in square meters. m:

Determining the length of the measured area. The procedure is performed by laying a measuring tape from one corner of a square or rectangle to another. Length is the longest of the sides.
With a length greater than 1 m, it is worth counting centimeters.
If the object is not a square or a rectangle, you should either break it into these shapes, or use the method of calculating complex shapes.
If it is impossible to measure the length 1 time, it is worth doing it in stages. It is necessary to expand the tape measure to make the necessary marks where it ends. It is necessary to repeat until the entire length is measured.
After that, proceed to measure the width. To do this, the tape measure is placed at an angle of 90 degrees to the length of the object. The resulting number, as in the case of the length, must be written down.

After the measurements are taken, it is necessary to convert centimeters to meters. It is worth remembering that 1 cm is equal to 0.1 m. This means that if the measurements resulted in the numbers 4 m 35 cm, when converted to meters, you get 4.35 m.

Let's say that you want to start doing repairs in your own apartment. To do this, you need to determine the number the right materials and the amount of money that will be spent on them. So here's the budget. repair work is directly related to quadrature, i.e. with the floor area measured in square meters. Today we will figure out how to calculate the area of \u200b\u200byour (or any other) room or even an entire apartment. Consider some aspects and nuances.

How to calculate the square of a room

Now let's take a closer look at how the area is calculated. It is worth considering that the shape of the room is not only rectangular. There are other cases, in each of them the calculation is done differently. Let's look at various examples.

What do you need to calculate

In order to quickly calculate the required area, you will need:

Roulette (with or without lock);
Paper where you will write everything down, a pencil and a pen;
Calculator for calculations, but you can do it in your mind and in a column on paper.

All this set is available in almost any home. It is better to take measurements with someone. It will be more convenient, but you can also do it yourself.

The first step is to take the measurement of the walls. This is done along them. You can also measure in the middle if they are filled with furniture.

3 by 3 how many square meters

To calculate a room 3 by 3 square meters, there is a fairly simple formula, you just need to multiply the measured length by the width. That is, we take 3 and multiply it by 3 and it turns out that a room 3 by 3 meters is 9 m².

3 by 4

Here it is calculated in the same way as in the previous formula. We take and multiply two values \u200b\u200bof 3 * 4 and get 12 square meters.

3 by 6 how much will it be m²

And there is nothing new here. Again we take two values - 3 and 6, and then multiply them. The result is 18 m².

Rectangular room

If the shape of the room is correct, which is very convenient, and there are no protruding parts, you can easily measure the area of \u200b\u200bthe room.

Take a tape measure and use it to measure the length and width of the room. Write down the values obtained on a piece of paper, so as not to forget. Record the value in meters. Then these figures should be multiplied, and you get the area of \u200b\u200bthe room in square meters. By the way, it is desirable to leave two digits after the decimal point, so if anything, you need to round.

Wrong room shape

Sometimes in apartments, and most often in private houses, there are rooms that differ from a rectangular shape.

To measure the square of a room that is not rectangular or square shape, you will have to divide it into various shapes such as rectangles, triangles, and so on.

If you need to calculate the area of a room in the form of a circle, you should use the formula S \u003d D2 / 4, where D is the diameter of the room.
The area of a triangular section is calculated according to the Heron formula S \u003d √ (P / 2 (P / 2 -A) x (P / 2 - B) x (P / 2 - C)), where the letters A, B, C mean its sides , and P is the perimeter, respectively.
To calculate the area of the terrace if you have a private house, you need to sum the area of \u200b\u200bthe rectangle and the semicircle.
In the case when a segment should be calculated, the formula R2 / 2 (/ 180 - sin) is used. This is a rather complicated calculation. The letter "a" refers to the angle of the segment, which is expressed in degrees.

How to calculate the square of a wall

The calculation of the area of the walls is necessary when you are purchasing materials - wallpaper, plaster, and so on. In this case, in order to calculate the square of the wall, additional measurements will be needed, for example, how high is the ceiling.

Wall, excluding windows, doors

Calculate the square of the walls easy as it is used the simplest formula- the length of the wall is multiplied by the height. Let's say the height is 2.7 meters, and the width is 7 meters, then S = 7 * 2.7 = 18.9 m2. This is the area of the walls.

How to calculate the square of the floor

In this case, it all depends on what the geometry of the room is. If the room correct form, then to find out the area of \u200b\u200bthe floor, you should measure the length or width of a rectangle, square. Square meters are calculated using the formula S = H*B. Where "H" means the length of the room, and "B" the width. If the room is square, just square the length of the side.

Floor without stove, fireplace

To do this, these elements should be excluded from the total area, that is, before calculating the total area, you need to know the square meters of a particular object:

We consider what square you have.
Then you should calculate the quadrature of the area where the stove or fireplace is located.
Now from the total area you need to subtract the one that touches the stove or fireplace.

Room volume

In some cases, you need to calculate the volume of the room. This is not difficult, you just need to multiply three values: width, length, height. This value is measured in cubic meters also called cubature. That is, the same formula as with the calculation of the area of the room, only the third value is added, and that's it.

Conclusion

Now you have received the answer to the question of how the area of \u200b\u200bany room is calculated. Even if it is complex, then it's okay, you need to break it into simple shapes. You can also use the online calculator needed to calculate the square footage of the room. It can be of great help in some cases. By the way, always keep 5-10% of materials in stock, as there may be errors in the calculation.

The same online calculators may also not work correctly. The best way calculate everything - do it yourself.