Easy# Pythagorean Theorem: Cutting Across the Grass

SATMAT-HMMQ1C

Cathy is walking to class around the quad. If she stays on the sidewalk, she will need to walk $45\ feet$, make a right angle turn, and then walk $250\ feet$ more.

How much distance would she save if she cut across the quad and took the shortest path between the two buildings? Round to the nearest foot.