2005 Cayley Problem 22

In the diagram, AOB is a quarter circle of radius 10 and PQRO is a rectangle of perimeter 26. The perimeter of the shaded region is

\textbf{(A)}\ 7+5\pi\quad \textbf{(B)}\ 13+5\pi\quad \textbf{(C)}\ 17+5\pi\quad \textbf{(D)}\ 7+25\pi\quad \textbf{(E)}\ 17+25\pi

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

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