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The perimeter of square S

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The perimeter of square S [#permalink] New post 25 Aug 2018, 09:02
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Question Stats:

88% (00:36) correct 11% (00:58) wrong based on 35 sessions
Attachment:
square.jpg
square.jpg [ 4.99 KiB | Viewed 1736 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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[Reveal] Spoiler: OA

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Re: The perimeter of square S [#permalink] New post 25 Aug 2018, 09:54
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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.

Kudos for R.A.E



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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Re: The perimeter of square S [#permalink] New post 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
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Re: The perimeter of square S [#permalink] New post 05 Apr 2020, 03:18
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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
Re: The perimeter of square S   [#permalink] 05 Apr 2020, 03:18
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The perimeter of square S

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