AMC 10A 2006 Problem 17

In rectangle A D E H, points B and C trisect \overline{A D}, and points G and F trisect \overline{H E}. In addition, A H=A C=2. What is the area of quadrilateral W X Y Z shown in the figure?

Answer Choices
A. \dfrac{1}{2}
B. \dfrac{\sqrt{2}}{2}
C. \dfrac{\sqrt{3}}{2}
D. \dfrac{2 \sqrt{2}}{3}
E. \dfrac{2 \sqrt{3}}{3}