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GRE Math Challenge #56- KLNP is a square with perimeter 128
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03 May 2015, 00:42
03 May 2015, 00:42
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99% (01:05) correct
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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:
Quant3.jpg [ 12.37 KiB | Viewed 4802 times ]
Re: GRE Math Challenge #56- KLNP is a square with perimeter 128
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11 Mar 2018, 07:26
11 Mar 2018, 07:26
sandy wrote:
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
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 [ 16.03 KiB | Viewed 3144 times ]
Re: GRE Math Challenge #56- KLNP is a square with perimeter 128
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13 Mar 2018, 20:31
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
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
