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In the figure, segment $WZ$ is a perpendicular bisector of segment $XY$, meaning the two segments intersect at a right angle and $XZ=ZY$.

If $XZ=3$, what is the area of triangle $XWY$?

Assume $XZ=ZW$.

A

$\cfrac{9}{2}$

B

$18\sqrt2$

C

$9$

D

$18$

E

$36$

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