2001 Cayley Problem 17

ABCDEFGH is a cube having a side length of 2. P is the midpoint of EF, as shown. The area of \triangle APB is

\textbf{(A)}\ \sqrt{8}\quad \textbf{(B)}\ 3\quad \textbf{(C)}\ \sqrt{32}\quad \textbf{(D)}\ \sqrt{2}\quad \textbf{(E)}\ 6

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

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