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The shaded region in the figure above represents a rectangular frame with a length of \(18\) inches and a width of \(15\) inches. The frame encloses a rectangular picture that has the same area as the frame itself. If the length and width of the picture have the same ratio as the length, and width of the frame, what is the length of the picture, in inches?
A. \(9\sqrt2\)
B. \(\dfrac32\)
C. \(\dfrac9{\sqrt2}\)
D. \(15\left(1-\dfrac1{\sqrt2}\right)\)
E. \(\dfrac92\)
Answer: A
Source: GMAT Paper Tests
A. \(9\sqrt2\)
B. \(\dfrac32\)
C. \(\dfrac9{\sqrt2}\)
D. \(15\left(1-\dfrac1{\sqrt2}\right)\)
E. \(\dfrac92\)
Answer: A
Source: GMAT Paper Tests
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