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Area of a Triangle Using a Perpendicular Bisector

GMAT-EM6TYT

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 $ ZW=(\cfrac{1}{2})XY$, what is the area of triangle $XWZ$ in terms of length $XY$?

A

$\cfrac{XY}{4}$

B

$4(XY)^2$

C

$\cfrac{(XY)^2}{√2}$

D

$\cfrac{(XY)^2}{4}$

E

$2(XY)^2$