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The ratio of the length to the width of a rectangular advert [#permalink]

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12 Dec 2012, 10:13

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The ratio of the length to the width of a rectangular advertising display is approximately 3.3 to 2. If the width of the display is 8 meters, what is the approximate length of the display, in meters?

The ratio of the length to the width of a rectangular advertising display is approximately 3.3 to 2. If the width of the display is 8 meters, what is the approximate length of the display, in meters?

(A) 7 (B) 11 (C) 13 (D) 16 (E) 26

Given that \(\frac{length}{width}=\frac{3.3}{2}\). Since \(width=8\), then \(\frac{length}{8}=\frac{3.3}{2}\) --> \(length=8*\frac{3.3}{2}=13.2\).

Re: The ratio of the length to the width of a rectangular advert [#permalink]

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12 Sep 2014, 01:52

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Walkabout wrote:

The ratio of the length to the width of a rectangular advertising display is approximately 3.3 to 2. If the width of the display is 8 meters, what is the approximate length of the display, in meters?

(A) 7 (B) 11 (C) 13 (D) 16 (E) 26

l:w 3.3:2

given width is 8 then 2 *4 ....

we have to do the same with L to find the right ratio.

Re: The ratio of the length to the width of a rectangular advert [#permalink]

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07 Mar 2016, 21:22

ratio is 3.3:2 and width is 8 which means multiplier is 4 (2*4=8). Hence multiply length by 4 as well, instead of 3.3 take 3 so length is 3*4=12 since it is just over it the answer should be 13 (to check multiply 0.3*4=1.2 and add to 12)
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The ratio of the length to the width of a rectangular advertising display is approximately 3.3 to 2. If the width of the display is 8 meters, what is the approximate length of the display, in meters?

(A) 7 (B) 11 (C) 13 (D) 16 (E) 26

This is a matter of EQUIVALENT RATIOS length/width: 3.3/2 = x/8

Approach #1 Notice that the width increases by a factor of 4 (from 2 to 8) So, the length must increase be a factor of 4 as well. 3.3(4) = 13.2

The ratio of the length to the width of a rectangular advertising display is approximately 3.3 to 2. If the width of the display is 8 meters, what is the approximate length of the display, in meters?

(A) 7 (B) 11 (C) 13 (D) 16 (E) 26

Let’s first set up our ratio using variable multipliers.

length : width = 3.3x : 2x

We are given that the width is 8 meters, so we set up the following equation:

2x = 8

x = 4

Thus, we know that the length is (4)(3.3) = 13.2 meters.

The closest answer is 13.

Answer: C
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