Question

A walkway forms one diagonal of a square playground. The walkway is 24 m long. How long is a side of the​ playground?

Answer 1

Let's call the length of the side of the square playground x.

Since the walkway forms one diagonal of the square, we can use the Pythagorean Theorem to find the length of the side.

Using the Pythagorean Theorem, we have:

x^2 + x^2 = 24^2
2x^2 = 24^2
2x^2 = 576
x^2 = 288
x = √288
x ≈ 16.97

Therefore, the length of a side of the playground is approximately 16.97 meters.