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

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

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

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Untitled.png
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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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SOLUTION

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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.

Answer: B.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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

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New post 24 Dec 2013, 22:22
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Straight B.

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

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New post 25 Dec 2013, 11:00
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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Re: If l and w represent the length and width, respectively, of [#permalink]

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New post 19 Apr 2018, 15:02
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

Answer: B

Cheers,
Brent

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Re: If l and w represent the length and width, respectively, of   [#permalink] 19 Apr 2018, 15:02
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