AMC 12 2015b Problem 19

In $\triangle ABC$, $\angle C = 90^\circ$ and $AB = 12$. Squares $ABXY$ and $CBWZ$ 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} \textbf{(B)} 18+6\sqrt{3} \textbf{(C)} 12+12\sqrt{2} \textbf{(D)} 30 \textbf{(E)} 32