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How to Calculate Area of a Square from Perimeter.
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How to Calculate Area of a Square from Perimeter.

Rosemary Njeri

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 .

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