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Difficulty—
ABCD is a square picture frame (see figure). EFGH is a square inscribed within ABCD as a space for a picure. The area of EFGH (for the picture) is equal to the area of the picture frame (the area of ABCD minus the area of EFGH). If AB = 6, what is the length of EF?
$$A.\ 3\sqrt{3}$$
$$B.\ 4\sqrt{2}$$
$$C.\ 5\sqrt{3}$$
$$D.\ 3\sqrt{2}$$
$$E.\ 2\sqrt{5}$$
OA D
Source: Manhattan Prep
