Maths Olympiad Prep

Library / CEMC Gauss (Grade 8) /460 of 525

CEMC Gauss (Grade 8), 2003

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

In the diagram, ABCDABCD is a square with area 25 cm225\text{ cm}^2. If PQCDPQCD is a rhombus with area 20 cm220\text{ cm}^2, the area of the shaded region, in cm2\text{cm}^2, is

(A) 1212 (B) 1010 (C) 1111 (D) 12.512.5 (E) 99

Figure for this problem

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.
Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.