2024 AMC 10B Problem 11

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 \triangle WXM and \triangle WAZ are equal. What is the area of \triangle WMA?

\textbf{(A)} 13 \qquad \textbf{(B)} 14 \qquad \textbf{(C)} 15 \qquad \textbf{(D)} 16 \qquad \textbf{(E)} 17

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.