MathNet 2024-part-05 — 168 problems (EN–VI) Question 167

In the figure below $WXYZ$ is a rectangle with $WX = 4$ and $WZ = 8$. Point $M$ lies on $\overline{XY}$, point $A$ lies on $\overline{YZ}$, and $\angle WMA$ is a right angle. The areas of triangles $\triangle WXM$ and $\triangle WAZ$ are equal. What is the area of $\triangle WMA$?

(A) 13 (B) 14 (C) 15 (D) 16 (E) 17