AMC 12B 2014 Problem 9

Convex quadrilateral A B C D has A B=3, B C=4, C D=13, A D=12, and \angle A B C=90^{\circ}, as shown. What is the area of the quadrilateral?

Answer Choices
A. 30
B. 36
C. 40
D. 48
E. 58.5