In the non-convex quadrilateral ABCD shown below, ∠BCD is a right angle, AB=12, BC=4, CD=3, and AD=13.
[asy]draw((0,0)--(2.4,3.6)--(0,5)--(12,0)--(0,0));
label("B", (0, 0), SW);
label("A", (12, 0), ESE);
label("C", (2.4, 3.6), SE);
label("D", (0, 5), N);[/asy]
What is the area of quadrilateral ABCD?
<spanclass=′latex−bold′>(A)</span>12<spanclass=′latex−bold′>(B)</span>24<spanclass=′latex−bold′>(C)</span>26<spanclass=′latex−bold′>(D)</span>30<spanclass=′latex−bold′>(E)</span>36