GAUSS8 2016 Problem 22

Past Contests GAUSS8 2016
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1

In rectangle ABCD, what is the total area of the shaded region?

Image

Answer Choices
A. 25\:cm^2
B. 31\:cm^2
C. 39\:cm^2
D. 35\:cm^2
E. 41\:cm^2