The shaded region in the figure above represents a rectangular frame with a length of \(18\) inches and a width of

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pm; Thanked: 6 times; Followed by:5 members

The shaded region in the figure above represents a rectangular frame with a length of \(18\) inches and a width of

by Vincen » Thu Mar 18, 2021 11:24 am

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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