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 .**