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GRE Math Challenge #56- KLNP is a square with perimeter 128

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GRE Math Challenge #56- KLNP is a square with perimeter 128 [#permalink] New post 03 May 2015, 00:42
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Question Stats:

99% (01:05) correct 0% (00:00) wrong based on 7 sessions
Image


KLNP is a square with perimeter 128.

Quantity A: MQ
Quantity B: 42

• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined


[Reveal] Spoiler:
Attachment:
Quant3.jpg
Quant3.jpg [ 12.37 KiB | Viewed 1666 times ]

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Re: GRE Math Challenge #56- KLNP is a square with perimeter 128 [#permalink] New post 11 Mar 2018, 07:26
sandy wrote:
Image


KLNP is a square with perimeter 128.

Quantity A: MQ
Quantity B: 42

• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined


[Reveal] Spoiler:
Attachment:
The attachment Quant3.jpg is no longer available

Attachments

File comment: we can know that the upper triangle is an isolesce traingle and MQ bisect LN. we are told that KNLP is a square whose perimeter is 128. thus, one of the side is 32. We should know the height of the upper is 12. thus MQ= 44.

Thus A>B
Quant3.jpg
Quant3.jpg [ 16.03 KiB | Viewed 390 times ]

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Re: GRE Math Challenge #56- KLNP is a square with perimeter 128 [#permalink] New post 13 Mar 2018, 20:31
correct: A
KLNP is a square and its perimeter is 128, so each side of it equals 32.
LMN is an equilateral triangle, LN is parallel to KP and MQ is a vertical line dividing LN to two equal parts in the middle point of LM that we call it H.
So we have MH^2 + LH^2 = ML^2 -> MH= 12
MQ = MH + HQ = 12 + 32 = 44
So A is bigger than B
Re: GRE Math Challenge #56- KLNP is a square with perimeter 128   [#permalink] 13 Mar 2018, 20:31
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GRE Math Challenge #56- KLNP is a square with perimeter 128

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