Maths Olympiad Prep

Library / CEMC Cayley /219 of 470

CEMC Cayley, 2005

Geometry Difficulty 2.0 Junior Find the answer Canada

ABCDABCD is a rectangle, with MM the midpoint of BCBC and NN the midpoint of CDCD. If CM=4CM = 4 and NC=5NC = 5, what percent of the area of the rectangle is shaded?

(A) 7070 (B) 7878 (C) 8080 (D) 87.587.5 (E) 7575

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.