In the diagram, $D E F G$ is a square and $A B C D$ is a rectangle. A straight line is drawn from $A$, passes through $C$ and meets $F G$ at $H$. The area of the shaded region is
(A) 8
(B) 8.5
(C) 10
(D) 9
(E) 10.5

![](https://cdn.mathpix.com/cropped/2024_04_20_6ed09463f225f8ba1f07g-149.jpg?height=328&width=423&top_left_y=2232&top_left_x=1342)