Most often, this question is relevant to those who will have to do repairs in the near future. The amount of necessary building materials depends on the square meters of a room or apartment. The cost of the robot repair masters also depends on the quadrature. Therefore, learn to count square meters housing is very important. We will share with you some ways how to do it right. Following our advice, you can easily and very quickly learn how to do it yourself.

• Roulette is best used with a large supply of meter tape. For example, 10 meters. It's much more convenient. But if there is a tool of shorter length, it is not necessary to look for a replacement for it. You will only have to rearrange it more often. The main thing is not to miss the point where the footage ends.
• You may need help. The tape measure must be held or somehow fixed at the starting and following points.
• It is necessary to carry out a tape measure along the most even line. Otherwise, the calculations may be more. As a result - an incorrectly calculated quadrature of the room.
• Measure the perimeter of the walls along with the windows and the door. Then, separately calculating their dimensions, subtract from the total perimeter and get the quadrature of the room. It is faster and more convenient than measuring the room in small parts.

Place the beginning of the tape measure in one of the corners of the room (A). It should be fixed there. Pressing firmly against the wall, stretch a 10-meter tape (depending on your tape measure), stretch it to the second corner of the room(IN). Here, too, fix the tape measure or ask someone to hold it. Pass the tape measure to the next corner of the room (C).

It turns out that you measured the width and length of the room. Multiply the number that came out by 2.

For example: 9 meters * 2 \u003d 18 m - the total perimeter of the walls of the room.

The next step is the height of the walls. Measure with a tape measure from the ceiling (A) to the floor (B). The resulting figure is multiplied by the perimeter of the walls.

For example: The height of the walls is 3 meters. 3 m * 18 m = 54 m - the total area around the perimeter without subtracting window openings, doors.

If there are several windows of the same size in the room, it is enough to measure only one window. Measure the width (A-B) and height (B-C) of the window slopes with a tape measure. We multiply both numbers.

For example: 2 m (window width) * 1.8 m (window height) = 3.6 m - window perimeter.

If the windows are different, measure the perimeter of each separately.

We do the same with the door. We measure, then multiply the width of the doors (A-B) by the height (B-C).

For example: 0.8 (door width) * 2 m (door height) = 1.6 m - door perimeter.

Finding out the area of ​​\u200b\u200brectangular rooms if they are free of furniture or other objects that make measurements difficult is quite easy. It is enough to recall the formula for the area of ​​\u200b\u200bthe rectangle (this is the shape most of the rooms in standard apartments) from the geometry course for grade 7, have a construction tape measure and at least one assistant with you. But things can get complicated if the room has niches, ledges, or is lined with bulky objects along the walls.

Consider several ways to find out the area of ​​\u200b\u200bthe room.

1. Let's turn to the documentation. This method is as obvious as everyone safely forgets about it. The areas of each room of an apartment or house are indicated in the documents for it. First of all in technical passport. Try to find this document and if you are lucky, you will be spared the need to carry out measurements and calculations.
   
2. Standard area calculation. If the numbers indicate only total area or you doubt their accuracy, then take into service the standard method of calculating the area of ​​​​a room of a rectangular or square shape, two walls of which are available for measurements.
   • take a tape measure (not a tailor's meter!). Measure the length and width of the room, write down the data obtained in the same units of measurement (meters or centimeters);
     
   • multiply both numbers. The result will be the desired area of ​​​​the room!
     

   For example: A - the width of the room - 350 cm or 3.5 m, B - its length - 420 cm or 4.2 m. Then the area S \u003d A * B or 3.5 * 4.2 \u003d 14.7 (sq.m)

   
   If there are ledges in the room (built-in wardrobes, columns), which are also rectangular in shape, you should calculate the area of ​​the latter and subtract them from the total.
   
3. Calculating the area of ​​rooms with a shape other than rectangular. In cases where the room has an irregular shape, your algorithm for finding its area will be as follows:
   • sketch the shape of the room on paper;
     
   • use straight lines to divide the drawing into more simple figures- ideal - for rectangles, triangles, trapezoids, semicircles (well, suddenly you have a very intricate shape of the room);
     
   • take measurements and calculate the areas of rectangular areas as described above;
     
   • for that part of the room that has a trapezoidal shape (most often it is the bay windows that have a complex polyhedral or even semicircular shape), measurements of three components are involved in the calculations - the length (A and B) of two opposite parallel sections and the distance between them, which will be the height (h ) trapezoid. It remains to find half the sum of the lengths of the sides and multiply it by the height.
     

     For example: the smaller side is 1.2m, the larger side is 2.5m, the distance between them (height) is 1.3m. Then the area S = h* (A+B)/2 or S=1.3* (1.2+2.5)/2, i.e. S=2.4(sq.m).

     
     
   • also find the area of ​​​​plots of a different shape using the formulas for calculating the area of ​​\u200b\u200bthe corresponding geometric shapes;
     
   • the final step is to add up all the obtained areas and get the desired result.
     

Periodically, we need to know the area and volume of the room. This data may be needed when designing heating and ventilation, when purchasing building materials, and in many other situations. It is also periodically required to know the area of ​​\u200b\u200bthe walls. All these data are calculated easily, but first you have to work with a tape measure - measure all the required dimensions. How to calculate the area of ​​\u200b\u200bthe room and walls, the volume of the room and will be discussed further.

Room area in square meters

• Roulette. Better - with a latch, but a regular one will do.
• Paper and pencil or pen.
• Calculator (or count in a column or in your head).

A set of tools is simple, there is in every household. It is easier to measure with an assistant, but you can do it yourself.

First you need to measure the length of the walls. It is desirable to do this along the walls, but if they are all full of heavy furniture, you can take measurements in the middle. Only in this case, make sure that the tape measure lies along the walls, and not obliquely - the measurement error will be less.

Rectangular room

If the room correct form, without protruding parts, calculating the area of ​​\u200b\u200bthe room is simple. Measure the length and width, write it down on a piece of paper. Write the numbers in meters, put centimeters after the decimal point. For example, length 4.35 m (430 cm), width 3.25 m (325 cm).

We multiply the found numbers, we get the area of ​​\u200b\u200bthe room in square meters. If we turn to our example, we get the following: 4.35 m * 3.25 m = 14.1375 sq. m. In this value, usually two digits after the decimal point are left, which means we round off. In total, the calculated quadrature of the room is 14.14 square meters.

Irregular room

If you need to calculate the area of ​​​​the room irregular shape, it is divided into simple shapes - squares, rectangles, triangles. Then they measure all the necessary dimensions, make calculations according to known formulas(see table below).

One example is in the photo. Since both are rectangles, the area is calculated using the same formula: multiply the length by the width. The figure found must be subtracted or added to the size of the room, depending on the configuration.

Complex room area

1. We consider the quadrature without a ledge: 3.6 m * 8.5 m = 30.6 sq. m.
2. We consider the dimensions of the protruding part: 3.25 m * 0.8 m = 2.6 sq. m.
3. We add two values: 30.6 square meters. m. + 2.6 sq. m. = 33.2 sq. m.

There are also rooms with sloping walls. In this case, we split it so that we get rectangles and a triangle (as in the figure below). As you can see, for this case it is required to have five sizes. It could have been split differently by putting a vertical rather than a horizontal line. It does not matter. It just requires a set of simple shapes, and the way they are selected is arbitrary.

In this case, the calculation order is:

1. We consider the large rectangular part: 6.4 m * 1.4 m \u003d 8.96 square meters. m. If we round up, we get 9.0 sq.m.
2. We calculate a small rectangle: 2.7 m * 1.9 m \u003d 5.13 square meters. m. Rounding up, we get 5.1 square meters. m.
3. We calculate the area of ​​the triangle. Since it is with a right angle, it is equal to half the area of ​​a rectangle with the same dimensions. (1.3 m * 1.9 m) / 2 = 1.235 sq. m. After rounding, we get 1.2 square meters. m.
4. Now we add everything up to find the total area of ​​​​the room: 9.0 + 5.1 + 1.2 \u003d 15.3 square meters. m.

The layout of the premises can be very diverse, but general principle you understand: we divide into simple figures, measure all the required dimensions, calculate the quadrature of each fragment, then add everything up.

Another important note: the area of ​​\u200b\u200bthe room, floor and ceiling are all the same values. Differences can be if there are some semi-columns that do not reach the ceiling. Then the quadrature of these elements is subtracted from the total quadrature. The result is the floor area.

How to calculate the square of the walls

Determining the area of ​​​​walls is often required when purchasing finishing materials- wallpaper, plaster, etc. This calculation requires additional measurements. To the already existing width and length of the room you will need:

• ceiling height;
• height and width doorways;
• height and width of window openings.

All measurements are in meters, since the square of the walls is also usually measured in square meters.

Since the walls are rectangular, the area is calculated as for a rectangle: we multiply the length by the width. In the same way, we calculate the dimensions of windows and doorways, subtract their dimensions. For example, we calculate the area of ​​\u200b\u200bthe walls shown in the diagram above.

1. Wall with a door:
   • 2.5 m * 5.6 m = 14 square meters m. - the total area of ​​\u200b\u200bthe long wall
   • how much does a doorway take: 2.1 m * 0.9 m = 1.89 sq.m.
   • wall excluding doorway - 14 sq.m - 1.89 sq.m. m = 12.11 sq. m
2. Wall with a window:
   1. square of small walls: 2.5 m * 3.2 m = 8 sq.m.
   2. how much does a window take up: 1.3 m * 1.42 m = 1.846 sq. m, rounding up, we get 1.75 sq.m.
   3. wall without a window opening: 8 sq. m - 1.75 sq.m = 6.25 sq.m.

Finding the total area of ​​​​the walls is not difficult. We add up all four numbers: 14 sq.m + 12.11 sq.m. + 8 sq.m. + 6.25 sq.m. = 40.36 sq. m.

Room volume

Some calculations require the volume of the room. In this case, three values ​​​​are multiplied: width, length and height of the room. This value is measured in cubic meters(cubic meters), also called cubic capacity. For example, we use the data from the previous paragraph:

• length - 5.6 m;
• width - 3.2 m;
• height - 2.5 m.

If we multiply everything, we get: 5.6 m * 3.2 m * 2.5 m = 44.8 m 3. So, the volume of the room is 44.8 cubic meters.

Even if all the necessary values ​​\u200b\u200bare indicated in the technical passport and housing documentation and a plan is attached, all this is not always at hand.

Then you have to arm yourself with a tape measure and, after carrying out the necessary measurements, calculate the right one yourself. In this article, we will learn how to calculate the area of ​​​​the walls of the house.

In what cases is it necessary?

The comfort of living in a room is usually estimated by its dimensions. Then why do you need the area of ​​\u200b\u200bthe walls? This is an auxiliary important for estimating the number of required Supplies during repair.

Knowing the area of ​​\u200b\u200bthe walls in a room or apartment, you can buy required amount consumables, be it wallpaper, paint, whitewash or tiles.

A roll of wallpaper knows its width and length, which allows you to calculate the required amount of material according to the area of ​​\u200b\u200bthe walls, the recommended consumption in grams per square meter is also indicated on the cans of paint, tiles with certain sizes also have a known area.

Wall area calculation

To calculate, you need to use well-known from the school formula for the area of ​​a rectangle.

Even if the room is of the most "irregular" shape, the walls can be "deployed" (of course, mentally), and we get a rectangle with a length equal to the perimeter of the room, and a height equal to the height of the room.

The area of ​​a rectangle is equal to the product of its sides. One of the sides is the perimeter of the room, the other is its height. The perimeter of the room is the sum of the lengths of all sides of a plane figure, representing the floor, or, more simply, the length of all skirting boards.

Rectangular room

If the room has a simple shape, the length of the perimeter can be measured by making a few necessary measurements. Height same usually measured at any corner of the room, from floor to ceiling. Linear dimensions should be measured in meters, then the area will be expressed in square meters.

Example: Room perimeter 13.90 m, height 2.65 m. Wall area = 13.90 x 2.65 = 36.84 sq. m.

To calculate the perimeter rectangular room enough measure the length and width of the room, add them up and multiply by 2.

Example: length 4.1 m, width 2.85 m. Perimeter = 2 x (4.1 + 2.85) = 13.90 (m).

wrong shape

The perimeter of an irregularly shaped room can be measured by carefully stretching string or wire along the perimeter along the baseboards, while wrap twine around all the ledges, bends, and then measure the length of the piece of twine corresponding to the perimeter with a tape measure.

Wall shape may be complicated by the presence of niches and protruding parts. Sometimes these elements can be neglected, but if it is necessary to take them into account, it is necessary to use the rectangle area formula to take into account all this additional area.

in the form of a trapezoid

In a room in the form of a trapezoid of 4 walls, two opposite ones are parallel to each other, and the other two are not. In this case, you can separately measure the lengths of all 4 sides and fold. This will be the perimeter of the room.

Exists complex formula, allowing calculate the fourth from the measured length of 3 sides, but it is easier to measure than to calculate.

Example: The sides of the room with the floor in the form of a trapezoid are 3, 4, 6 and 5 m. Perimeter = 3 + 4 + 6 + 5 = 18 (m).

Read also about the standard window size for houses of different types.

round shape

If the room is strictly round, the perimeter can be calculated, by measuring its diameter (diameter) and multiplying it by the number "pi", equal (with rounding) 3.14.

Example: diameter 2.7 m, perimeter = 3.14 x 2.7 = 8.48 (m).

Windows and doors in material calculation

If you paste over the walls of the room with wallpaper or paint with paint, from the area of ​​\u200b\u200bthe walls calculated as described above subtract the area of ​​windows and doors.

Windows and doors are usually rectangular in shape, and to determine their area just measure their width and height, and multiply.

Example: in a room with a wall area of ​​36.84 sq. m. there is a window measuring 1.30 by 1.40 m and a door measuring 0.80 by 2.05 m. The window area is 1.30 x 1.40 \u003d 1.82 square meters. m, the door area is 0.80 x 2.05 = 1.64 sq. m. The area of ​​​​walls without windows and doors is 36.84 - 1.82 - 1.64 \u003d 33.38 square meters. m.

Or here's another good example:

How to calculate the consumption of wall paint?

Consumption is indicated on the paint can 100 g/sq.m. Calculate the amount of paint needed to paint the walls of a room with a wall area 33.38 sq. m.

We multiply the consumption, expressed in kilograms per 1 square meter, by the area of ​​\u200b\u200bwalls without windows and doors, we get 0.1 x 33.38 = 3.34 (kg). Obviously, you can get by with a can of 3.5 kg of paint. Similar to this example, other finishing materials can be calculated.

In order to determine the cost of services for wallpapering by a private master, you need to know the total area of ​​\u200b\u200bthe walls and the perimeter of the room. There are services that are calculated by square meters, such as gluing or priming. Are there any services you need to know? running meters, for example, installation of skirting boards or gluing curbs. It is not necessary to use the services of measurers, just remember school curriculum by geometry. This information will also help in calculating the right amount wallpaper, glue and so on.

Wall area = room perimeter * ceiling height

First you need to measure the width and length of the room. We must say right away that the obtained measurements of the length and width of the room must be converted into meters. For example, if the length of the room is 325 centimeters, then we consider 3.25 meters.

Room length 4.75 meters
Room width 3.25 meters

Calculate the perimeter of the room, which is equal to the sum of all sides.

P \u003d (a + b) x2, where a and b are the width and length of the room. Therefore (4.75 + 3.25) x2 = 16 meters.
The perimeter of our room is 16 meters. P=16 meters.

Now you need to measure the height of the room. We measure the height of the wall - we got 2.71 meters.
h=2.71 meters.

To get the area of ​​the walls, you need to multiply the perimeter of the room by the height of the walls.

S walls \u003d Pxh, where h is the height of the walls.
S walls \u003d 16x2.71 \u003d 43.36 meters.

The area of ​​the walls of our room is 43.36 square meters. meters. S=43.36 m2.

From this figure, you need to subtract the area of ​​\u200b\u200bwindows and doors - after all, there is no need to glue wallpaper there. We have one window in the room, the area of ​​\u200b\u200bwhich is 1.95 m 2 (1.3m x 1.5m). Door area 1.17 m 2 (0.61m x 1.92m). The sum of the areas of windows and doors that are not involved in wallpapering is 3.12 m 2.

The net area of ​​​​the walls is 43.36 - 3.12 \u003d 40.24 m 2.

In cases where the room is of a non-standard size and does not look like a rectangle, you will have to calculate the area of ​​\u200b\u200beach wall separately and then sum them up.

Table of wall areas for wallpaper and painting

Below is a table that will help you quickly determine the area of ​​\u200b\u200bwalls for wallpapering (or painting). To calculate the indicators, the typical area of ​​windows and doors was used. Wall area indicators vary according to the height of the ceiling of the room: