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Math Expert V
Joined: 02 Sep 2009
Posts: 58444
If the perimeter of a rectangular garden plot is 40 feet and its area  [#permalink]

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Difficulty:   5% (low)

Question Stats: 94% (01:44) correct 6% (00:42) wrong based on 35 sessions

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If the perimeter of a rectangular garden plot is 40 feet and its area is 84 square feet, what is the length of one of the longer sides?

A. 6
B. 12
C. 14
D. 24
E. 28

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Manager  S
Joined: 23 Apr 2018
Posts: 139
If the perimeter of a rectangular garden plot is 40 feet and its area  [#permalink]

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2(L+B)=40 given 1
L*B=84 given 2

From 1
L+B=40/2
L+B=20
14 & 4 fit, both the equations, therefore 14 is the answer
Option (c)

Posted from my mobile device

Originally posted by Shrey9 on 29 Aug 2018, 01:51.
Last edited by Shrey9 on 29 Aug 2018, 02:51, edited 1 time in total.
NUS School Moderator V
Joined: 18 Jul 2018
Posts: 1021
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If the perimeter of a rectangular garden plot is 40 feet and its area  [#permalink]

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Perimeter of a rectangle = 2(L+W)

Given 2(L+W) = 40

Then L+W = 20.

Also Given, LW = 84

Only possible pair which satisfies the above criteria is (14,4)

C is the answer.
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Board of Directors D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
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WE: Business Development (Commercial Banking)
Re: If the perimeter of a rectangular garden plot is 40 feet and its area  [#permalink]

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Bunuel wrote:
If the perimeter of a rectangular garden plot is 40 feet and its area is 84 square feet, what is the length of one of the longer sides?

A. 6
B. 12
C. 14
D. 24
E. 28

There exists a shortcut formula -

$$P=2l+\frac{2A}{l}$$ { Where P = Perimeter , A = Area & l = Length }

So, $$40 = 2l + \frac{84}{l}$$

Now, check using options, Answer must be (C) 14
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Abhishek....

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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 ) Re: If the perimeter of a rectangular garden plot is 40 feet and its area   [#permalink] 29 Aug 2018, 07:51
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If the perimeter of a rectangular garden plot is 40 feet and its area

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