AMC 8 2013 Problem 24

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

=Video Solution for Problems 21-25 https://youtu.be/-mi3qziCuec