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# If l and w represent the length and width, respectively, of

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Math Expert
Joined: 02 Sep 2009
Posts: 51214
If l and w represent the length and width, respectively, of  [#permalink]

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24 Dec 2013, 02:52
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Difficulty:

5% (low)

Question Stats:

85% (00:38) correct 15% (00:45) wrong based on 569 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

Attachment:

Untitled.png [ 4.01 KiB | Viewed 8025 times ]
If l and w represent the length and width, respectively, of the rectangle above, what is the perimeter?

(1) 2l + w = 40
(2) l + w= 25

Data Sufficiency
Question: 4
Category: Geometry Perimeter
Page: 153
Difficulty: 550

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Re: If l and w represent the length and width, respectively, of  [#permalink]

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24 Dec 2013, 02:53
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SOLUTION

If l and w represent the length and width, respectively, of the rectangle above, what is the perimeter?

The perimeter is 2(l+w).

(1) 2l + w = 40. Not sufficient.

(2) l + w= 25 --> $$perimeter=2(l+w)=50$$. Sufficient.

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Joined: 28 Sep 2013
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Re: If l and w represent the length and width, respectively, of  [#permalink]

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24 Dec 2013, 21:22
1
Straight B.

For Perimeter we need 2(l+b),so if we know l+b its sufficient..
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Joined: 21 Mar 2011
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Concentration: Strategy, Technology
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Re: If l and w represent the length and width, respectively, of  [#permalink]

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25 Dec 2013, 10:00
Answer is B straightaway.

Explanation: The perimeter of a rectangle can be found by 2(l+w). So, if we know (l+w) or l and w separately, the perimeter can be found. Hence B.
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Joined: 11 Sep 2015
Posts: 3237
Re: If l and w represent the length and width, respectively, of  [#permalink]

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19 Apr 2018, 14:02
Top Contributor
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

Attachment:
Untitled.png
If l and w represent the length and width, respectively, of the rectangle above, what is the perimeter?

(1) 2l + w = 40
(2) l + w = 25

Target question: What is the perimeter?
This is a great candidate for REPHRASING the target question.

Aside: We have a free video with tips on rephrasing the target question (see below)

If L and W represent the rectangle's length and width, then the perimeter = 2L + 2W.
So, we can REPHRASE the target question as...

REPHRASED target question: What is the value of 2L + 2W?

Statement 1: 2L + W = 40
This statement does not FEEL sufficient to answer the rephrased target question. So, I'm going to PLUG IN numbers.
There are several values of L and W that satisfy statement 1. Here are two:
Case a: L = 5 and W = 30, in which case 2L + 2W = 70
Case b: L = 10 and W = 20, in which case 2L + 2W = 60
Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: L + W = 25
If we take this equation and multiply both sides by 2, we get: 2L + 2W = 50
PERFECT - we have answered the REPHRASED target question!
Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT

Cheers,
Brent

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Re: If l and w represent the length and width, respectively, of &nbs [#permalink] 19 Apr 2018, 14:02
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# If l and w represent the length and width, respectively, of

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