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# In a certain rectangle, the ratio of length to width of a rectangle is

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Math Expert
Joined: 02 Sep 2009
Posts: 56300
In a certain rectangle, the ratio of length to width of a rectangle is  [#permalink]

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19 Aug 2018, 09:18
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5% (low)

Question Stats:

100% (01:01) correct 0% (00:00) wrong based on 22 sessions

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In a certain rectangle, the ratio of length to width of a rectangle is 3 : 2 and the area is 150 square centimeters. What is the perimeter of the rectangle, in centimeters?

(A) 10
(B) 15
(C) 25
(D) 40
(E) 50

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Re: In a certain rectangle, the ratio of length to width of a rectangle is  [#permalink]

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19 Aug 2018, 09:29
Bunuel wrote:
In a certain rectangle, the ratio of length to width of a rectangle is 3 : 2 and the area is 150 square centimeters. What is the perimeter of the rectangle, in centimeters?

(A) 10
(B) 15
(C) 25
(D) 40
(E) 50

Given l:w=3:2
Let l=3x , w=2x

Given,area=150
Or, 6x^2=150
Or, x^2=25
Or, x=5
So l=3x=15 and w=2x=10

Perimeter of rectangle= 2(l+w)=2(15+10)=50
Ans. (E)
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Re: In a certain rectangle, the ratio of length to width of a rectangle is   [#permalink] 19 Aug 2018, 09:29
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