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

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sandy
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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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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


Show: ::
Attachment:
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Quant3.jpg [ 12.37 KiB | Viewed 4732 times ]
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Peter
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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


Show: ::
Attachment:
The attachment Quant3.jpg is no longer available

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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
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Fatemeh
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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
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Re: GRE Math Challenge #56- KLNP is a square with perimeter 128 [#permalink]
13 Mar 2018, 20:31
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