CEMC Fermat, 2001

Geometry Difficulty 2.0 Junior Find the answer Canada

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

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

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