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The perimeter of a rectangular garden is 360 ft. What is the

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The perimeter of a rectangular garden is 360 ft. What is the [#permalink]

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New post 31 Mar 2010, 16:31
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The perimeter of a rectangular garden is 360 ft. What is the length of the garden?

1) the length of the garden is twice the width
2) the difference between the length and width of the garden is 60 ft

[Reveal] Spoiler:
I don't struggle with 1. Clearly 2(l+w)=360 and we clearly have a substitution for w (w=l/2) but in the Official Answer, it appears as if we are to implicity assume that l>w to prove that B is sufficient. Why?

OA is D. I don't see how 2 can stand alone - L could be 60 or 120, depends on how you interpret difference.


OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/the-perimete ... 66669.html
[Reveal] Spoiler: OA

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Re: The perimeter of a rectangular garden is 360 ft. What is the [#permalink]

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New post 31 Mar 2010, 16:41
ckgriffi wrote:
The perimeter of a rectangular garden is 360 ft. What is the length of the garden?

1) the length of the garden is twice the width
2) the difference between the length and width of the garden is 60 ft

I don't struggle with 1. Clearly 2(l+w)=360 and we clearly have a substitution for w (w=l/2) but in the Official Answer, it appears as if we are to implicity assume that l>w to prove that B is sufficient. Why?

OA is D. I don't see how 2 can stand alone - L could be 60 or 120, depends on how you interpret difference.


given 2 * (l+w) = 360. what is l?
st 1) l=2w . substituting in the above equation we can get l
st 2) l-w = 60. solving for the 2 equations, we can get l
D

difference between length and width is 60 mean l-w = 60.

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Re: The perimeter of a rectangular garden is 360 ft. What is the [#permalink]

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New post 31 Mar 2010, 17:36
ckgriffi wrote:
OA is D. I don't see how 2 can stand alone - L could be 60 or 120, depends on how you interpret difference.


I have sympathy for your agony but for rectangles, length is always greater than width - it's a universally accepted standard.
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Re: The perimeter of a rectangular garden is 360 ft. What is the [#permalink]

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New post 31 Mar 2010, 18:23
BarneyStinson wrote:
ckgriffi wrote:
OA is D. I don't see how 2 can stand alone - L could be 60 or 120, depends on how you interpret difference.


I have sympathy for your agony but for rectangles, length is always greater than width - it's a universally accepted standard.


I am sorry ckgriffi - I have deactivated barneystinson's account.

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Re: The perimeter of a rectangular garden is 360 ft. What is the [#permalink]

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New post 01 Apr 2010, 05:50
Understood, makes sense. It seems that I'm challenging universally accepted standards, maybe I should be applying to Law School.

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Re: The perimeter of a rectangular garden is 360 ft. What is the [#permalink]

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New post 01 Apr 2010, 11:32
ckgriffi wrote:
Understood, makes sense. It seems that I'm challenging universally accepted standards, maybe I should be applying to Law School.


Don't worry. In most cases GMAT doesn't test such kind of concepts. In this particular case, I would interpret "the difference between the length and width of the garden is 60 ft" as l-w=60. But again, this example is rather an exception than rule: almost all GMAT questions are straightforward.
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Re: The perimeter of a rectangular garden is 360 ft. What is the [#permalink]

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New post 21 Oct 2017, 08:55
ckgriffi wrote:
The perimeter of a rectangular garden is 360 ft. What is the length of the garden?

1) the length of the garden is twice the width
2) the difference between the length and width of the garden is 60 ft

[Reveal] Spoiler:
I don't struggle with 1. Clearly 2(l+w)=360 and we clearly have a substitution for w (w=l/2) but in the Official Answer, it appears as if we are to implicity assume that l>w to prove that B is sufficient. Why?

OA is D. I don't see how 2 can stand alone - L could be 60 or 120, depends on how you interpret difference.




The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.

(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

Answer: D.

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Re: The perimeter of a rectangular garden is 360 ft. What is the   [#permalink] 21 Oct 2017, 08:55
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