## Square Meter

Generally, a square meter is the measurement of the area that we usually use to measure a two-dimensional space such as a field or floor. For example, area of the floor, area of a room, area of the walls, and area of the house first measures in feet then converted into square meters. SI unit of area is the square meter. It has a symbol sq.m.It is defined as the area of a square whose sides measure exactly one meter.

### Calculation of Area in Square Meters

To calculate the area of a room, first, we have to measure the length and width of the floor. We are calculating area in square meters so we take both the values in meters. We use measuring tape to measure length and width because measuring tape has both meter and feet scale and note the measurements and calculate area.

To calculate the area of the room which is in rectangular, so we use the formula of the area of the rectangle as length × width = area. To calculate the area of the room which is a square, so we use the formula of the area of the square as side × side = area of a square.

For example, the measurements of the room are 4 meters long and 4 meters wide, so the area of the room is 4 meters × 4 meters = 16 square meters. We denote area as square meters in a unit because we are multiplying two values which have the same unit i.e. meters so when these units are multiplied the result is meters^{2}. The square meters area the unit is sq.m so the area will be (4m)^{2 }which is 16 sq.m.

**Converting from Centimeters to Meters**

To calculate the area both the measurements are of the same unit because if the units are different the measurements do not divide evenly. For this, we have to convert the measurements into the same unit. We have to do our calculation in meters or centimeter.

1 centimeter = 0.01 meters

1 meter = 100 centimeters

To convert from centimeters to meters we have to multiply the value by 0.01 to convert the value of the measurement from meters to centimeters we have to multiply the value by 100.

For example:

3 m 35 cm = 2 m + 0.35 m = 3.35 m

1 m 8 cm = 108 cm (1 meter = 100 centimeters)

**Converting Meters to Feet**

As we have taken the measurements in meters, so to calculate the area in feet we do not have measure it again. We have to convert meters into feet.

1 meter = 3.2808 feet

1 feet = 0.3048 meter

To convert meters to feet from we multiply the value by 3.2808 to get the result in feet. To convert from feet to meter we multiply the value by 0.3048 to get the result in meters.

For example, A room measures 13 feet long on one side, after the conversion, we have \(\frac{13} {3.2808}\) = 3.96 meters.

**Measuring Odd-Shaped Rooms**

The formula of the area is for regular shapes like rectangle and square. However, the room are also in L shape, we have to calculate the area around furniture or free floor. In this case, we divide the room into regular shapes such as Individual Square or rectangle.

We do the calculations according to the formula of square and rectangle. After calculating individual areas, we do the summation of these individual areas to calculate the whole area of odd-shaped rooms or floor.

For example, A room is in L shaped so we can break it into 2 rectangles one measuring 3 meters by 5 meters and the other measuring 6 meters by 4 meters. So the area of the first rectangle is 3 meters × 5 meters = 15 square meters.

The area of the second rectangle is 6 meters × 4 meters = 24 square meters. For the total area, we need to add both of these rectangles areas i.e. 15 square meters + 24 square meters = 39 sq.m.

**Solved Question for You**

**Q – If the side of a square is 7 m, then find its area.**

- 49 square meter
- 48 square meter
- 45 square meter
- 42 square meter

Ans: A

Side length = 7 m

Area of a square = side × side

= 7 m × 7 m

= 49 sq.m