2000 Pascal Problem 16

The area of square ABCD is 64. The midpoints of its sides are joined to form the square EFGH. The midpoints of its sides are J, K, L, and M. The area of the shaded region is

\textbf{(A)}\ 32\quad \textbf{(B)}\ 24\quad \textbf{(C)}\ 20\quad \textbf{(D)}\ 28\quad \textbf{(E)}\ 16

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.