A school wants to build a rectangular playground that will have a diagonal length of 75 yards. How wide can the playground be if the length has to be 30 yards?

A rectangle has two diagonals. Each one is a line segment drawn between the opposite vertices (corners) of the rectangle. By using the Pythagorean Theorem, we can calculate the width. We do as follows:

c^2 = a^2 + b^2

a = sqrt (c^2 - b^2)

a = 68.74 yards