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2006 AMC 10A Question 17

AMC10 · 2006 AMC 10A

Question 17

In rectangle $ADEH,$ points $B$ and $C$ trisect $\overline{AD},$ and points $G$ and $F$ trisect $\overline{HE}.$ In addition, $AH = AC = 2.$ What is the area of quadrilateral $WXYZ$ shown in the figure?

Question illustration
  1. $\dfrac{1}{2}$
  2. $\dfrac{\sqrt{2}}{2}$
  3. $\dfrac{\sqrt{3}}{2}$
  4. $\dfrac{2\sqrt{2}}{3}$
  5. $\dfrac{2\sqrt{3}}{3}$