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2014 AMC 12B Question 9

AMC12 · 2014 AMC 12B

Question 9

Convex quadrilateral $ABCD$ has $AB = 3,$ $BC = 4,$ $CD = 13,$ $AD = 12,$ and $\angle ABC = 90^\circ,$ as shown. What is the area of the quadrilateral?

Question illustration
  1. $30$
  2. $36$
  3. $40$
  4. $48$
  5. $58.5$