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walkway Area

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walkway Area [#permalink] New post 26 Aug 2010, 08:05
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The figure (in attached file) shows a square patio surrounded by a walkway of width x meters. If the area
of the walkway is 132 square meters and the width of the patio is 5 meters greater than
the width of the walkway, what is the area of the patio, in square meters?
A. 56
B. 64
C. 68
D. 81
E. 100
[Reveal] Spoiler: OA
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Re: walkway Area [#permalink] New post 26 Aug 2010, 08:23
the answer is B. here's how i did it...

the width of the patio is X + 5 and the width of the big square is 3X +5, therefore the are of the big square is equal to the area of the walkway plus the area of the patio, the equation is
(3X +5)^2 -132 = (X + 5)^2,
X = 3 or X = -11/2
since the width of the patio = X+5 = 3 + 5 =8
the area equals to 8^ 2 =64
hope it helps!!
Re: walkway Area   [#permalink] 26 Aug 2010, 08:23
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