Problem

2017 AMC 8 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. [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?

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

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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Category: AMC 8
Points: 2
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