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# The ratio of the length of a rectangular floor to its width is 3 : 2.

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Math Expert
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132595 [0], given: 12326

The ratio of the length of a rectangular floor to its width is 3 : 2. [#permalink]

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03 Oct 2017, 05:42
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The ratio of the length of a rectangular floor to its width is 3 : 2. If the length of the floor is 12 meters, what is the perimeter of the floor, in meters?

(A) 20
(B) 40
(C) 60
(D) 96
(E) 120
[Reveal] Spoiler: OA

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Intern
Joined: 16 Feb 2017
Posts: 7

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Concentration: General Management, Social Entrepreneurship
Re: The ratio of the length of a rectangular floor to its width is 3 : 2. [#permalink]

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03 Oct 2017, 06:06
The ratio of the length of a rectangular floor to its width is 3 : 2. If the length of the floor is 12 meters, what is the perimeter of the floor, in meters?

(A) 20
(B) 40
(C) 60
(D) 96
(E) 120

Sol- As given,length: width(l:w)=3:2-> w=(2/3)*12=8 Hence, P=2(12+8)=2*20=40. Ans- B

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Senior Manager
Joined: 24 Jun 2012
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Location: Pakistan
GPA: 3.76
Re: The ratio of the length of a rectangular floor to its width is 3 : 2. [#permalink]

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03 Oct 2017, 06:46
length/width = 3/2 this means width = 2/3 length
length is 12 thus; width will be: 2/3 (12) = 8
perimeter of rectangle : 2(12+8) = 40--B is the answer
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Kudos [?]: 52 [0], given: 263

Director
Joined: 22 May 2016
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Kudos [?]: 336 [0], given: 591

The ratio of the length of a rectangular floor to its width is 3 : 2. [#permalink]

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03 Oct 2017, 07:37
Bunuel wrote:
The ratio of the length of a rectangular floor to its width is 3 : 2. If the length of the floor is 12 meters, what is the perimeter of the floor, in meters?

(A) 20
(B) 40
(C) 60
(D) 96 g
(E) 120

$$\frac{3L}{2W}$$ = $$\frac{12L}{8W}$$

The numerator 3, multiplied by 4 = 12. So (2 * 4) = 8. Or cross multiply.

L = 12, W = 8
Perimeter = 12 + 12 + 8 + 8 = 40

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Veritas Prep GMAT Instructor
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Location: Pune, India
Re: The ratio of the length of a rectangular floor to its width is 3 : 2. [#permalink]

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03 Oct 2017, 08:11
1
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Expert's post
Bunuel wrote:
The ratio of the length of a rectangular floor to its width is 3 : 2. If the length of the floor is 12 meters, what is the perimeter of the floor, in meters?

(A) 20
(B) 40
(C) 60
(D) 96
(E) 120

Simply use multiplier concept:

Length : Width = 3:2

If length = 12, the multiplier is 4. So width is 2*4 = 8

Perimeter = 2*(L + B) = 2*(12 + 8) = 40

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Kudos [?]: 17779 [1], given: 235

Target Test Prep Representative
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Location: United States (CA)
Re: The ratio of the length of a rectangular floor to its width is 3 : 2. [#permalink]

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05 Oct 2017, 10:07
Bunuel wrote:
The ratio of the length of a rectangular floor to its width is 3 : 2. If the length of the floor is 12 meters, what is the perimeter of the floor, in meters?

(A) 20
(B) 40
(C) 60
(D) 96
(E) 120

We are given that the ratio of length : width = 3x : 2x.

Since the length of the floor is 12:

3x = 12

x = 4

So, the length is 3x = (3)(4) = 12 and the width is 2x = (2)(4) = 8. Thus, the perimeter is 2 x 12 + 2 x 8 = 24 + 16 = 40.

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Kudos [?]: 920 [0], given: 3

Re: The ratio of the length of a rectangular floor to its width is 3 : 2.   [#permalink] 05 Oct 2017, 10:07
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