Olympiad Maths Prep

Track / Stage 4 / 109 of 340 #369 of 2000

Problem 369

AMC 12 late, AIME early
Geometry Difficulty 4.7 Find the answer

33. (5 points)
In the rectangle POQRP O Q R, 3 identical squares are embedded. Given that PR=8P R=8 cm, RQ=10R Q=10 cm, the area of each square is \qquad square cm.

Official solution

1313

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.