2004 Pascal Problem 25

In the diagram, ABCD is a trapezoid with AB parallel to CD and with AB = 2 and CD = 5. Also, AX is parallel to BC and BY is parallel to AD. If AX and BY intersect at Z, and AC and BY intersect at W, the ratio of the area of \triangle AZW to the area of trapezoid ABCD is

\textbf{(A)}\ 7 : 105\quad \textbf{(B)}\ 8 : 105\quad \textbf{(C)}\ 9 : 105\quad \textbf{(D)}\ 10 : 105\quad \textbf{(E)}\ 12 : 105

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