2016 Gauss 8 Problem 22

In rectangle ABCD, what is the total area of the shaded region?

\textbf{(A)}\ 25 \text{ cm}^2\quad \textbf{(B)}\ 31 \text{ cm}^2\quad \textbf{(C)}\ 39 \text{ cm}^2\quad \textbf{(D)}\ 35 \text{ cm}^2\quad \textbf{(E)}\ 41 \text{ cm}^2

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

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