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# The perimeter of square S

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