2015 AMC 10B Problem 19

In \triangle{ABC}, \angle{C} = 90^{\circ} and AB = 12. Squares ABXY and ACWZ are constructed outside of the triangle. The points X, Y, Z, and W lie on a circle. What is the perimeter of the triangle?

\textbf{(A)}\ 12+9\sqrt{3}\qquad\textbf{(B)}\ 18+6\sqrt{3}\qquad\textbf{(C)}\ 12+12\sqrt{2}\qquad\textbf{(D)}\ 30\qquad\textbf{(E)}\ 32

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