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The width of a rectangular playground is 75 percent of the length. I

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The width of a rectangular playground is 75 percent of the length. I [#permalink] New post   20 Jul 2021, 04:38
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The width of a rectangular playground is 75 percent of the length. If the perimeter of the playground is 280 meters, how long, in meters, is a straight path that cuts diagonally across the playground from one corner to another?

(A) 60
(B) 70
(C) 80
(D) 90
(E) 100


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Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: The width of a rectangular playground is 75 percent of the length. I [#permalink] New post   20 Jul 2021, 05:07
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let
length = l and width = w
w = 0.75*l
perimeter : 2(l+w) = 280
2l+2(0.75)l = 280
3.5l = 280
l = 80
w = 0.75(80) = 7.5*8 = 60
we want to find diagonal length, so root over 80^2 +60^2 = 100 i.e option (E)
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Re: The width of a rectangular playground is 75 percent of the length. I [#permalink]
20 Jul 2021, 05:07
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