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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 15667

GRE 1: Q160 V160

The perimeter of square S [#permalink]

25 Aug 2018, 09:02

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Question Stats:

82% (00:38) correct

17% (01:09) wrong

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Attachment:

square.jpg [ 4.99 KiB | Viewed 2282 times ]

The perimeter of square S is equal to the perimeter of the rectangle above.

Quantity A	Quantity B
The length of a side of S	$x+3$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

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pranab223

Joined: 20 Apr 2016

Posts: 1307

WE:Engineering (Energy and Utilities)

Re: The perimeter of square S [#permalink]

25 Aug 2018, 09:54

Carcass wrote:

Attachment:

square.jpg

The perimeter of square S is equal to the perimeter of the rectangle above.

Quantity A	Quantity B
The length of a side of S	$x+3$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

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The perimeter of square is =$4 * side$

and the perimeter of rectangle = $2 *(Length + breadth)$

Now give,

$4S = 2* (x + x + 6)$ ( S = side of the square i.e. given)

or $4S = 4x + 12$

or $S = x + 3$

Hence option C
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Director

Joined: 09 Nov 2018

Posts: 505

Re: The perimeter of square S [#permalink]

18 Jan 2019, 19:53

the perimeter of rectangle = x+x+x+6+x+6 = 4x+12
side of square= 4x+12 /4= x+3

bubidag

Manager

Joined: 01 Jan 2020

Posts: 114

Concentration: Marketing

Schools: Copenhagen Business School - Class of 2022

Re: The perimeter of square S [#permalink]

05 Apr 2020, 03:18

An easier approach to the exercise would be if we would observe x=1.
Following upon this we se that the perimeter of the rectangle is 16, meaning that the square has s=4.
x+3=4
answer c