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# In the figure shown, two identical squares are inscribed in

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VP
Joined: 22 Nov 2007
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In the figure shown, two identical squares are inscribed in [#permalink]  12 Jan 2008, 02:17
In the figure shown, two identical squares are inscribed in the rectangle. If the perimeter of the rectangle is 18√2, then what is the perimeter of each square?

A. 8√2
B. 12
C. 12√2
D. 16
E. 18
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rect.doc [23.5 KiB]

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Joined: 01 Sep 2007
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Re: nice geo question [#permalink]  12 Jan 2008, 02:42
It should be B.
the two squares are inscribed in equal subrectangles which are also squares. the sum of three sides of each subrectangle is 18sqrt2 / 2 / 3= 3 sqrt 2. Through Pythgorean theorem find the side of an inscribed square equal to 3. Finally, 3*4 = 12
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geo sol.JPG [ 12.58 KiB | Viewed 645 times ]

Re: nice geo question   [#permalink] 12 Jan 2008, 02:42
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