A square is a regular quadrilateral meaning that it has 4 equal sides and 4 equal angles.
While perimeter is the distance around the outer edge of a shape or the length of the outline of a shape, area is the space occupied by a flat shape or the surface of an object.
Formula to calculate area of a square from perimeter.
Since we know that a square has 4 equal sides, therefore when you are given the perimeter it is easy to get the length of one of its side and in turn find the area.
- First you will need to divide the perimeter by 4 to get the length of each side.
- Then use the formula below to calculate the area of a square to find its area.
Area of a Square = Side x Side
Example:
Suppose you are given the perimeter of a square as 40 m and you are asked to calculate the area.
We will begin by dividing the perimeter by 4.
= 40 ÷ 4
= 10 m
Therefore, one of the square’s side is 10 m.
Then we find the area of the square.
Area of a Square = Side x Side
= 10 x 10
= 100 m² .
