2013 AMC8 Problem 24

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