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

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In a certain rectangle, the ratio of length to width of a re [#permalink]  17 Aug 2018, 18:42
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Question Stats:

85% (00:58) correct 15% (00:21) wrong based on 20 sessions
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
[Reveal] Spoiler: OA

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Manager
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Kudos [?]: 6 [0], given: 2

Re: In a certain rectangle, the ratio of length to width of a re [#permalink]  25 Mar 2020, 02:40
Ratio of length to width is 3:2. Introduce the unknown multiplier, X, for each side. Now we have 3X and 2X. 3X*2X must equal the area, so 6X^2 = 150. 150/6 = 25. We can take the root of 25 to find X because a side can't be negative. So we know thw unknown multiplier is 5. Sides are 15 and 10. 2(15) +2(10) = 50, or E.
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Re: In a certain rectangle, the ratio of length to width of a re [#permalink]  25 Mar 2020, 03:11
tou know that lenght:width is 3:2 and lenght*width=150. Therefore l= 3/2 w, you plug this in the other equation and you get w* 3/2*w = 150 --> 3/2*w^2= 150 --> w^2 = 100 --> w=10 then you plug 10 in l =3/2 *w --> l= 3/2* 10 --> l= 15 finally you find the perimeter P= 15+15+10+10=50. Answer E
Re: In a certain rectangle, the ratio of length to width of a re   [#permalink] 25 Mar 2020, 03:11
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