Question

Answer the questions below. Write your answers in simplest form. (a) A square has an area of 81 What is the length of each side? (b) A square has a perimeter of 49 What is the length of each side?

Answer 1

Explanation:

remember, a square has 4 equally long sides.

(a)

the area of a square is

side length × side length = (side length)²

hence the name "square".

therefore, the side length is the square root of the area.

sqrt(81) = 9

so, the length of each side is 9.

(b)

the perimeter of a square is

4 × side length

therefore, side length = perimeter/4

49/4 = 12.25

so, the length of each side is 12.25.