1998 Pascal Problem 18

In the diagram, DEFG is a square and ABCD is a rectangle. A straight line is drawn from A, passes through C and meets FG at H. The area of the shaded region is

\textbf{(A)}\ 8\quad \textbf{(B)}\ 8.5\quad \textbf{(C)}\ 10\quad \textbf{(D)}\ 9\quad \textbf{(E)}\ 10.5

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.