Question

A square playground has a perimeter of 120 yards. What is the length of a diagonal of the playground?

Answer 1

We can use Pythagorean's theorem to solve this problem:

a^2 + b^2 = c^2

a and b would both be the same value, since the shape is a square.

The sides of the square would each equal 30.

30^2 = 900

a^2 = 900   which means b^2 = 900

900 + 900 = 1,800

√1,800 ≈ 42.43

A diagonal of the playground would be about 42.43 yards!