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

The diagonal of a square can be obtained by the Pythagorean theorem and is given by:
 Diagonal = root (L ^ 2 + L ^ 2)
 Where,
 L: Sides of the squares
 Clearing L, we have:
 (Diagonal) ^ 2 = L ^ 2 + L ^ 2
 (Diagonal) ^ 2 = 2L ^ 2
 L ^ 2 = ((Diagonal) ^ 2) / 2
 L = (((Diagonal) ^ 2) / 2) ^ (1/2)
 Substituting
 L = (((24) ^ 2) / 2) ^ (1/2) = 16.97
 answer:
 The side of the playground is 16.97m long