Area

Summary

LearnNext Lesson Video

Area
The amount of surface enclosed by a closed figure is called its area.

The following conventions are to be adopted while calculating the area of a closed figure using a squared or graph paper.
1. Count the fully-filled squares covered by the closed figure as one square unit or unit square each.
2. Count the half-filled squares as half a square unit.
3. Count the squares that are more than half-filled as one square unit.
4. Ignore the squares filled less than half.

For example, the area of this shape can be calculated as shown:

 Covered area Number Area estimate (sq units) Fully filled squares 6 6 Half-filled squares 7 7 × ½ Squares filled more than half 0 0 Squares filled less than half 0 0

Area covered by full squares = 6 × 1 = 6 sq units

Area covered by half squares = 7 × $\frac{\text{1}}{\text{2}}$$\frac{\text{7}}{\text{2}}$ = 3$\frac{\text{1}}{\text{2}}$ sq units

Total area of the given shape = 6 + 3$\frac{\text{1}}{\text{2}}$ sq units

Thus, the total area of the given shape = 9$\frac{\text{1}}{\text{2}}$ sq units.

Area of a rectangle

Area of a rectangle =  length × breadth.

Area of the square

Area of the square = side × side.

1 . How to find the breadth If the length and perimeter Is given

Let?s consider an example:
If length of a rectangle is 10 cm and its perimeter is 22 cm, then fin...

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3 . A room is 7m long and 4m 25cm wide.

Length of the room = 7 m
Breadth of the room = 4 m 25 cm = 4.25 m
Area of the floor of the room = length x breadth
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