Question

A square playground has a perimeter of 120 yards.

What is the length of a diagonal of the playgrou
nd?

Answer 1

diagonal = 42.4 yards

Explanation:

perimeter = 120 yards

side = 30 yards

all sides of a square are the same length

so a diagonal line going through the middle of the square would represent the hypotenuse

a^2 + b^2 = c^2

30^2 + 30^2 = c^2

900 + 900 = c^2

1800 = c^2

c = sqrt 1800

c = 42.426

round to nearest tenth

c = 42.426 --> c = 42.4