CEMC Pascal, 2004

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

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

(A) $7 : 105$ (B) $8 : 105$ (C) $9 : 105$ (D) $10 : 105$ (E) $12 : 105$

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