2001 Fermat Problem 13

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

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