GAUSS7 2014 Problem 24

Past Contests GAUSS7 GAUSS (GR. 7) - 2014
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1

In the diagram shown,

  • STUV is a square,
  • Q and P are the midpoints of ST and UV,
  • PR QR, and
  • VQ is parallel to PR.

What is the ratio of the shaded area to the unshaded area?

Image

Answer Choices
A. 2:3
B. 3:5
C. 1:1
D. 7:9
E. 5:7