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How many bags of grass seed were used for rectangular lawn X [#permalink]
 27 Jan 2008, 13:57
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Please help:
How many bags of grass seed were used for rectangular lawn X?
1. Lawn X has a perimeter of 720 feet.
2. One bag of grass seed was used for each 5000 sq. feet of lawn X.
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Re: DS:bags of grass [#permalink]
27 Jan 2008, 14:15
E1&2. Area of rectangular lawn X is (0,(720/4)^2]=(0,32400]The number of bags is [1,7]insuff. if perimeter of the lawn were 240, the answer would be C. It would be very tricky question 
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Re: DS:bags of grass [#permalink]
27 Jan 2008, 14:18
Walker - I agree with E. But one of your assumptions here is tht the lawn is a square which it is not. L + B = 360. (720/2). Area of LB has a multitude of combinations and hence E.
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Re: DS:bags of grass [#permalink]
27 Jan 2008, 14:27
at the constant perimeter, area of rectangle lawn is minimum: rectangle is very narrow and Area --> 0 maximum: rectangle is a square --> 720=4a --> a=180 --> area=180^2=32400 Therefore area of lawn is in the range (0,32400]
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Re: DS:bags of grass [#permalink]
27 Jan 2008, 14:30
Got it. I agree that the question would have been very tricky if perimeter was 240...
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Re: DS:bags of grass [#permalink]
27 Jan 2008, 14:33
neelesh wrote: Got it.
I agree that the question would have been very tricky if perimeter was 240... May even 800-level  
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Re: DS:bags of grass [#permalink]
27 Jan 2008, 23:05
walker wrote: E1&2. Area of rectangular lawn X is (0,(720/4)^2]=(0,32400]The number of bags is [1,7]insuff. if perimeter of the lawn were 240, the answer would be C. It would be very tricky question Agree E. Yes that would be very interesting w/ a perimeter of 240.
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Re: DS:bags of grass [#permalink]
27 Jan 2008, 23:18
walker wrote: at the constant perimeter, area of rectangle lawn is
minimum: rectangle is very narrow and Area --> 0
maximum: rectangle is a square --> 720=4a --> a=180 --> area=180^2=32400
Therefore area of lawn is in the range (0,32400] Walker, if so I think number of bags of seed also lines in the range of (0, 6...) that is why E
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Re: DS:bags of grass [#permalink]
27 Jan 2008, 23:23
sondenso wrote: Walker, if so I think number of bags of seed also lines in the range of (0, 6...) that is why E Yeah, but [1,7]. 6 bags are not enough to use for the square lawn X.
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Re: DS:bags of grass
[#permalink]
27 Jan 2008, 23:23
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