2017 Fermat Problem 13

In the diagram, P lies on the y-axis, Q has coordinates (4,0), and PQ passes through the point R(2,4). What is the area of \triangle OPQ?

\textbf{(A)}\ 8\quad \textbf{(B)}\ 12\quad \textbf{(C)}\ 32\quad \textbf{(D)}\ 24\quad \textbf{(E)}\ 16

If there are no answer choices shown, enter a numerical answer.

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