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What is the perimeter, in meters, of a rectangular playgroun
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Carcass
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Joined: 18 Apr 2015
Posts: 15023
GRE 1: Q160 V160
What is the perimeter, in meters, of a rectangular playgroun [#permalink] New post  13 May 2018, 10:28
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95% (00:48) correct 4% (00:49) wrong based on 22 sessions

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What is the perimeter, in meters, of a rectangular playground 24 meters wide that has the same area as a rectangular playground 64 meters long and 48 meters wide?

(A) 112

(B) 152

(C) 224

(D) 256

(E) 304
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Re: What is the perimeter, in meters, of a rectangular playgroun [#permalink] New post  04 Jul 2018, 08:06
Carcass wrote:
What is the perimeter, in meters, of a rectangular playground 24 meters wide that has the same area as a rectangular playground 64 meters long and 48 meters wide?

(A) 112

(B) 152

(C) 224

(D) 256

(E) 304



From the statement we have,

Since the area of the first rectangle = area of the second rectangle of length 64 m and width 48 m
therefore

Length * 24 = 64 * 48

or Length of first rectangle = 128

Therefore perimeter of the first rectangle = 2 * (Length + Breadth) = 2 * (128 + 24) = 304
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