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# The length of a rectangular photograph is 2 longer than the width of t

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Math Revolution GMAT Instructor
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The length of a rectangular photograph is 2 longer than the width of t  [#permalink]

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24 Jul 2017, 01:08
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Difficulty:

5% (low)

Question Stats:

86% (00:58) correct 14% (01:32) wrong based on 52 sessions

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The length of a rectangular photograph is 2 longer than the width of the photograph. If the area of the photograph is 35, what is the width?

A. 3
B. 4
C. 5
D. 6
E. 7

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"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior PS Moderator Joined: 26 Feb 2016 Posts: 3386 Location: India GPA: 3.12 Re: The length of a rectangular photograph is 2 longer than the width of t [#permalink] ### Show Tags 24 Jul 2017, 02:15 If the width is w, the length is w+2 Since, it has been given that area of the rectangular photograph is 35. w(w+2) = 35 Solving for w, w=5 Therefore, the width of the photograph is 5(Option C) _________________ You've got what it takes, but it will take everything you've got Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4470 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: The length of a rectangular photograph is 2 longer than the width of t [#permalink] ### Show Tags 24 Jul 2017, 08:28 MathRevolution wrote: The length of a rectangular photograph is 2 longer than the width of the photograph. If the area of the photograph is 35, what is the width? A. 3 B. 4 C. 5 D. 6 E. 7 $$w(w + 2) = 35$$ Or, $$w^2 + 2w - 35 = 0$$ Or, $$w^2 + 7w - 5w - 35 = 0$$ Or, $$w(w + 7) -5( w + 7) = 0$$ Or, w = 5 , answer must be (C) _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Senior SC Moderator Joined: 22 May 2016 Posts: 2744 The length of a rectangular photograph is 2 longer than the width of t [#permalink] ### Show Tags 24 Jul 2017, 17:11 MathRevolution wrote: The length of a rectangular photograph is 2 longer than the width of the photograph. If the area of the photograph is 35, what is the width? A. 3 B. 4 C. 5 D. 6 E. 7 Area = L * W = 35 L = W + 2 (W + 2)(W) = 35 W$$^2$$ + 2W - 35 =0 (W + 7)(W - 5) = 0 Width cannot be negative. W = 5. Answer C _________________ Listen, are you breathing just a little, and calling it a life? -- Mary Oliver For practice SC questions go to SC Butler, here. Please DO NOT write short answers in your verbal posts! Such answers will be deleted. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7354 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: The length of a rectangular photograph is 2 longer than the width of t [#permalink] ### Show Tags 26 Jul 2017, 01:11 ==>If width=w, you get length=w+2, and from $$w(w+2)=35, w^2+2x-35=0, (w+7)(w-5)=0, w=-7,5,$$ you get w=5. The answer is c. Answer: C _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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Re: The length of a rectangular photograph is 2 longer than the width of t  [#permalink]

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26 Jul 2017, 16:40
MathRevolution wrote:
The length of a rectangular photograph is 2 longer than the width of the photograph. If the area of the photograph is 35, what is the width?

A. 3
B. 4
C. 5
D. 6
E. 7

We can let the width = w and the length = w + 2, and thus:

w(w+2) = 35

w^2 + 2w - 35 = 0

(w + 7)(w - 5) = 0

w = -7 and w = 5

The width can’t be negative, so w = 5.

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Re: The length of a rectangular photograph is 2 longer than the width of t   [#permalink] 26 Jul 2017, 16:40
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