The perimeter of the square playground is 36m. What is its area?

Given:

P (sq. Site) = 36 m.

Find: S (square. Site) -?

Decision

This means that the very name of a square platform prompts us to think that the geometric figure in question is a square. Its most important property is that all sides are equal.

1) Perimeter – the sum of the lengths of all sides. P (sq.) = A + a + a + a = 4a.

We replace (substitute) the data:

36 = 4a;

a = 36/4;

a = 9 m.

2) The area of the figure is the product of length and width. S (sq.) = A * a = a ^ 2.

S (sq.) = 9 * 9 = 81 m ^ 2.

Answer: The area of a square site S (sq.) = 81 m ^ 2.