2013 AMC 10A Problems/Problem 16

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Problem

A triangle with vertices $(6, 5)$, $(8, -3)$, and $(9, 1) is reflected about the line$x=8$to create a second triangle.  What is the area of the union of the two triangles$ \textbf{(A)}\ 9 \qquad\textbf{(B)}\ \frac{28}{3} \qquad\textbf{(C)}\ 10 \qquad\textbf{(D)}\ \frac{31}{3} \qquad\textbf{(E)}\ \frac{32}{3} $

Solution