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Re: Does the rectangle have an area less than 30? [#permalink]

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05 Jan 2010, 14:17

flyingbunny wrote:

yezz wrote:

Does the rectangle have an area less than 30? (1) Perimeter = 20 (2) Diagonal < 10

for (1), perimeter = 20, therefore the Smax=(20/4)^2=25<30 A sufficient

for (2), suppose X^2+Y^2=100 the area is S=XY=X\(\sqrt{100-X^2}\)

when X^2=50 or X=\(\sqrt{50}\), Smax=50>30

So the answer is A

Dont think this is correct....

ST1 - SUFF for sure.... ST2 - gives that area is more than 30... therefore is very much sufficient to answer the question....

Hence answer should be D....
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|Do not post questions with OA|Please underline your SC questions while posting|Try posting the explanation along with your answer choice| |For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|

Re: Does the rectangle have an area less than 30? [#permalink]

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05 Jan 2010, 14:20

jeeteshsingh wrote:

flyingbunny wrote:

yezz wrote:

Does the rectangle have an area less than 30? (1) Perimeter = 20 (2) Diagonal < 10

for (1), perimeter = 20, therefore the Smax=(20/4)^2=25<30 A sufficient

for (2), suppose X^2+Y^2=100 the area is S=XY=X\(\sqrt{100-X^2}\)

when X^2=50 or X=\(\sqrt{50}\), Smax=50>30

So the answer is A

Dont think this is correct....

ST1 - SUFF for sure.... ST2 - gives that area is more than 30... therefore is very much sufficient to answer the question....

Hence answer should be D....

Oops.... sorry its A.... My mistake... I failed to consider that diagonal is less than 10.. hence the area could be 50 or less.....
_________________

Cheers! JT........... If u like my post..... payback in Kudos!!

|Do not post questions with OA|Please underline your SC questions while posting|Try posting the explanation along with your answer choice| |For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|

Re: Does the rectangle have an area less than 30? [#permalink]

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09 Jan 2010, 21:40

gottabwise wrote:

Can someone provide another example for why STMT 2 is insufficient? I can see that the area's < 48 since the diagonal's < 10.

Rephrase of ? - Are l & w < 5 & 6? (1) 2l+2w=20 l+w=10 max 5, 5; max area 25; 25<30 SUFF (2) 1/2 rectangle=right triangle; a^2+b^2=c^2 c<10 (6-8-10 right triangle); sides less than 6 & 8 given that, does the possibility of the l & w being any combo of #'s < 6&8 make it INS?
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Re: Does the rectangle have an area less than 30? [#permalink]

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17 Sep 2016, 12:35

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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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