CEMC Fermat, 2008

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

In the diagram, $Z$ lies on $XY$ and the three circles have diameters $XZ$ , $ZY$ and $XY$ . If $XZ=12$ and $ZY=8$ , then the ratio of the area of the shaded region to the area of the unshaded region is

(A) $12:25$ (B) $12:13$ (C) $1:1$ (D) $1:2$ (E) $2:3$

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