AMC 8 2017 Problem 18

In the non-convex quadrilateral $ABCD$ shown below, $\angle BCD$ is a right angle, $AB=12$, $BC=4$, $CD=3$, and $AD=13$. What is the area of quadrilateral $ABCD$?

$\textbf{(A) }12 \textbf{(B) }24 \textbf{(C) }26 \textbf{(D) }30 \textbf{(E) }36$