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In the diagram above, what is the length of MP if LNOQ is a

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Joined: 19 Nov 2004
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In the diagram above, what is the length of MP if LNOQ is a [#permalink]  19 Dec 2004, 18:19
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16. In the diagram above, what is the length of MP if LNOQ is a square with an area of 64?
(1) a – b = 0
(2) OP = Â½ OQ

I am lost as to how to get the length of MP given the diagram

* Note: diagram can be found in page 6 of the Word document attached in the topic found in the URL below:

http://www.gmatclub.com/phpbb/viewtopic.php?t=12339
[/img]
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Joined: 03 May 2007
Posts: 894
Schools: University of Chicago, Wharton School
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Re: DS # 16: length of MP in a square [#permalink]  10 Aug 2011, 12:09
cpcalanoc wrote:
16. In the diagram above, what is the length of MP if LNOQ is a square with an area of 64?
(1) a – b = 0
(2) OP = ½ OQ

I am lost as to how to get the length of MP given the diagram

* Note: diagram can be found in page 6 of the Word document attached in the topic found in the URL below:

http://www.gmatclub.com/phpbb/viewtopic.php?t=12339[/img]

Statement 1 is not sufficient as it says a = b but a or b could have value between 45 to 135.
Statement 2 also not sufficient because it only tells P is mid-point between O and Q not about M./

From 1 and 2, P = M and MP = 8. Sufficient and C.
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Re: DS # 16: length of MP in a square [#permalink]  10 Aug 2011, 12:48
Unless otherwise stated, we dont know if a and b are 90 deg or less or more...

1) not sufficient... a = b could be 50 or 60 or 90 deg etc... not sufficient.
2) OP = 1/2 OQ = 4, from that we know that b = 90, but dont know the value of a. not sufficient.

combining both we know that MP is straight line and a and b = 90, so MP = 8. Answer is C.
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Re: DS # 16: length of MP in a square [#permalink]  10 Aug 2011, 15:50
agdimple333 wrote:
Unless otherwise stated, we dont know if a and b are 90 deg or less or more...

1) not sufficient... a = b could be 50 or 60 or 90 deg etc... not sufficient.
2) OP = 1/2 OQ = 4, from that we know that b = 90, but dont know the value of a. not sufficient.

combining both we know that MP is straight line and a and b = 90, so MP = 8. Answer is C.

why do you assume because OP is half of OQ, that MP is perpendicular to OQ? Can it not just be drawn from point P which is the midpoint of OQ, and perhaps joining NL with point M somewhere closer to N. It wouldn't contradict the statement 1, as a and b can still be considered vertical angles since we know NL and OQ are parallel.
Re: DS # 16: length of MP in a square   [#permalink] 10 Aug 2011, 15:50
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