CAYLEY 2001 Problem 17

Past Contests CAYLEY CAYLEY - 2001
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ABCDEFGH is a cube having a side length of 2. P is the midpoint of EF, as shown. The area of \triangle{APB} is

Image

Answer Choices
A. \sqrt8
B. 3
C. \sqrt{32}
D. \sqrt2
E. 6