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The perimeter of a rectangular window is 28 feet. What is

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The perimeter of a rectangular window is 28 feet. What is [#permalink] New post 18 Aug 2012, 14:11
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The perimeter of a rectangular window is 28 feet. What is the length of the window?

(1) The difference between the length and width is 2 feet.
(2) The length of the window is 1/3 greater than the width.

[Reveal] Spoiler:
OA is B...does this mean that on the gmat, length is not automatically longer than width?
[Reveal] Spoiler: OA

Last edited by Bunuel on 19 Aug 2012, 02:24, edited 1 time in total.
Edited the question.
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Re: Is length automatically longer than width on GMAT? [#permalink] New post 18 Aug 2012, 14:37
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dreamhunter wrote:
The perimeter of a rectangular window is 28 feet. What is the
length of the window?

(1) The difference between the length and width is 2 feet.
(2) The length of the window is 1/3 greater than the width.

OA is B...does this mean that on the gmat, length is not automatically longer than width?


When talking about two quantities, "difference between" means either less than or greater than, or more importantly, not equal.
For a non-rotated rectangle, the length is the side which is parallel to the x-axis or the horizontal side, and the width is the side parallel to the y-axis or the vertical side. Either one can be longer than the other one.
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Last edited by EvaJager on 19 Aug 2012, 00:45, edited 1 time in total.
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Re: Is length automatically longer than width on GMAT? [#permalink] New post 18 Aug 2012, 14:59
Less than or greater than what exactly?

I think the question should be written as "...positive difference between" which avoids ambiguity.

Anyway, my question is whether anyone knows the official stance on this as research on the web argues both cases.
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Re: Is length automatically longer than width on GMAT? [#permalink] New post 19 Aug 2012, 00:18
the difference between can mean l-b=2 or b-l=2 .... so statement 1 is not clear... so we have to rule out a

therefore b is the answer
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Re: Is length automatically longer than width on GMAT? [#permalink] New post 19 Aug 2012, 01:48
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The "length" of a rectangle is the length of its longest side. Quoting wikipedia on the subject (which is just restating what is conventional in mathematics in general), "length most commonly refers to the longest dimension of an object." So length cannot be less than width, and the answer to the question in the original post ought to be D. Where is the question from?

In any case, because the purpose of the GMAT is not to test whether you're familiar with obscure mathematical conventions, no real GMAT question would ever be ambiguous about this type of thing. If the question in the original post were to appear on the GMAT, Statement 1 would read something like "the length of the window is 2 feet greater than its width".
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Re: Is length automatically longer than width on GMAT?   [#permalink] 19 Aug 2012, 01:48
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