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How many bags of grass seed were used for rectangular lawn X

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How many bags of grass seed were used for rectangular lawn X [#permalink]

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New post 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]

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New post 27 Jan 2008, 14:15
E

1&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]

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New post 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]

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New post 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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New post 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]

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New post 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 :-D :ninja
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Re: DS:bags of grass [#permalink]

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New post 27 Jan 2008, 23:05
walker wrote:
E

1&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]

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New post 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]

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New post 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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