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# The area of a square with perimeter 12

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The area of a square with perimeter 12 [#permalink]  17 Sep 2018, 20:44
Expert's post
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Question Stats:

73% (00:51) correct 26% (00:17) wrong based on 23 sessions

 Quantity A Quantity B The area of a square with perimeter 12 The area of a parallelogram with perimeter 16

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.
[Reveal] Spoiler: OA

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Re: The area of a square with perimeter 12 [#permalink]  17 Sep 2018, 21:36
Carcass wrote:
 Quantity A Quantity B The area of a square withperimeter 12 The area of a parallelogramwith perimeter 16

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.

QTY B : find area of parallelogram, only perimeter is given.

But we donot have any more information about the height and we are left with 2 unknown. The answer will result to D.

Let solve to find out

Given $$2 * (a + b) = 16$$ , a and b are the two sides of parallelogram

or a + b = 8

Now the area of parallelogram = base * height , but we donot have enough info to solve it

Option D

*** this site may be helpful in geometry problem**
https://www.symbolab.com/solver/paralle ... calculator
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Re: The area of a square with perimeter 12   [#permalink] 17 Sep 2018, 21:36
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