Question

How to solve a pythagorean theorem problem dealing with a square; The diagonal of the square is 11.3 meters and I am to find the perimeter of the square.

Answer 1

Explanation:

Each side of the square is s meters long.

By the Pythagorean Theorem,

length of diagonal = √(s²+s²) = √(2s²) = s√2 meters

s√2 = 11.3

s = 11.3/√2

perimeter = 4s = 45.2/√2 ≅ 31.96 meters