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

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

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27 Jan 2008, 13:57
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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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CEO
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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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Senior Manager
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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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CEO
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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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Senior Manager
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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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CEO
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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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CEO
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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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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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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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