Easy# 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 $XY$?