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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: 44322
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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25% (medium)

Question Stats:

88% (00:23) correct 12% (00:36) wrong based on 34 sessions

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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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Joined: 16 Feb 2017
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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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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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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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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
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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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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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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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