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If a rectangular photograph that Is 10 inches wide by 15 inches long I

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carcass
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If a rectangular photograph that Is 10 inches wide by 15 inches long I [#permalink] New post   21 May 2017, 11:03
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If a rectangular photograph that Is 10 inches wide by 15 inches long Is to be enlarged so that the width will be 22 inches and the ratio of width to length will be unchanged, then the length, in inches, of the enlarged photograph will be

(A) 33

(B) 32

(C) 30

(D) 27

(E) 25
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A
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amanvermagmat
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Re: If a rectangular photograph that Is 10 inches wide by 15 inches long I [#permalink] New post   21 May 2017, 11:11
Let the new length be 'L'.
since the ratio of width and length is unchanged, we have:

10/15 = 22/L
Solve to get L=33

Hence A
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Re: If a rectangular photograph that Is 10 inches wide by 15 inches long I [#permalink] New post   22 Aug 2020, 02:04
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Original ratio of "L" and "W" = 15/10
New Ration of "L" and "W" = x/22

15/10 = x/22 , x=new length of picture
therefore, x = 33

Hope it helps
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Re: If a rectangular photograph that Is 10 inches wide by 15 inches long I [#permalink] New post   28 Dec 2020, 10:23
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carcass wrote:
If a rectangular photograph that Is 10 inches wide by 15 inches long Is to be enlarged so that the width will be 22 inches and the ratio of width to length will be unchanged, then the length, in inches, of the enlarged photograph will be

(A) 33
(B) 32
(C) 30
(D) 27
(E) 25


We can solve this question using equivalent ratios

We can use the ratio width/length

Let x = the length of the enlarged photograph

We can write: 10/15 = 22/x
We can save ourselves some time by simplifying the first ratio to get: 2/3 = 22/x
Cross multiply to get: 2x = (3)(22)
Solve: x = 33

Answer: A

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Re: If a rectangular photograph that Is 10 inches wide by 15 inches long I [#permalink] New post   28 Dec 2020, 10:46
carcass wrote:
If a rectangular photograph that Is 10 inches wide by 15 inches long Is to be enlarged so that the width will be 22 inches and the ratio of width to length will be unchanged, then the length, in inches, of the enlarged photograph will be

(A) 33

(B) 32

(C) 30

(D) 27

(E) 25

\(10----------2.2---------->22\)

So, \(15----------2.2---------->33\), Answer must be (A)
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Re: If a rectangular photograph that Is 10 inches wide by 15 inches long I [#permalink] New post   03 Jun 2023, 06:29
To find the length of the enlarged photograph, we need to maintain the ratio of width to length.

The original photograph has a width of 10 inches and a length of 15 inches, resulting in a width-to-length ratio of 10/15 = 2/3.

If we enlarge the width to 22 inches, we need to find the corresponding length that maintains the same ratio.

We can set up a proportion to solve for the length of the enlarged photograph:

10/15 = 22/x
10x = 15 * 22 = 330
x = 330/10 = 33

Therefore, the length of the enlarged photograph will be 33 inches, which corresponds to option (A).
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Re: If a rectangular photograph that Is 10 inches wide by 15 inches long I [#permalink]
03 Jun 2023, 06:29
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