Question

The figure below represents a rectangular park.



image.png

If the diagonal path is 750 feet long and the width of the park is 450 feet, what is the length, in feet, of the park?


550 ft


600 ft


650 ft


675 ft

Answer 1

Use the Pythagorean theorem: length^2 + 450^2 = 750^2.
So length^2 = 750^2 − 450^2 = 562,500 − 202,500 = 360,000, hence length = √360,000 = 600 ft.