2013 AMC8 Problem 24

bridge

Member
Squares $$ABCD$$, $$EFGH$$, and $$GHIJ$$ are equal in area. Points $$C$$ and $$D$$ are the midpoints of sides $$IH$$ and $$HE$$, respectively. What is the ratio of the area of the shaded pentagon $$AJICB$$ to the sum of the areas of the three squares?

$$\textbf{(A)}\hspace{.05in}\frac{1}{4}\qquad\textbf{(B)}\hspace{.05in}\frac{7}{24}\qquad\textbf{(C)}\hspace{.05in}\frac{1}{3}\qquad\textbf{(D)}\hspace{.05in}\frac{3}{8}\qquad\textbf{(E)}\hspace{.05in}\frac{5}{12}$$