2022 Fermat Problem 19

In the diagram, \triangle PQR is right-angled at R, PR = 12, and QR = 16. Also, M is the midpoint of PQ and N is the point on QR so that MN is perpendicular to PQ. The area of \triangle PNR is

\textbf{(A)}\ 21\quad \textbf{(B)}\ 17.5\quad \textbf{(C)}\ 36\quad \textbf{(D)}\ 16\quad \textbf{(E)}\ 21.5

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

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