GAUSS8 2011 Problem 18

Squares ABCD and EFGH are equal in area. Vertices B,E,C, and H lie on the same straight line. Diagonal AC is extended to J, the midpoint of GH. The fraction of the two squares that is shaded is

Image

Answer Choices
A. \frac58
B. \frac13
C. \frac25
D. \frac{5}{16}
E. \frac38