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# The figure above represents a rectangular garden bordered by

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Retired Moderator
Joined: 29 Oct 2013
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The figure above represents a rectangular garden bordered by [#permalink]

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04 Jun 2014, 08:39
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61% (00:58) correct 39% (01:00) wrong based on 239 sessions

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The figure above represents a rectangular garden bordered by a walkaway that has a uniform width of 3 feet. What's the perimeter of the garden?

1) The outer perimeter of the walkaway is 124 feet
2) The area of the garden is 600 feet.
[Reveal] Spoiler: OA

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Re: The figure above represents a rectangular garden bordered by [#permalink]

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04 Jun 2014, 08:50
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MensaNumber wrote:
The figure above represents a rectangular garden bordered by a walkaway that has a uniform width of 3 feet. What's the perimeter of the garden?

1) The outer perimeter of the walkaway is 124 feet
2) The area of the garden is 600 feet.

the statement says the uniform width of the walkway is 3 feet. Nothing more info on that. Lets check the answer.

1. We know the outer perimeter as 124 ft. So we can find the length and width. And if we subtract the 3 feet(Uniform) from both length and breath we find the perimeter of the garden- Sufficient.

2. we know the area, but we do not know whether the area includes the walkway or not. . Also in either case, we may have multiple values of length and breath which can give the area of 600 feet. So In-sufficient

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Re: The figure above represents a rectangular garden bordered by [#permalink]

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12 Aug 2014, 01:23
Let x and y be two sides of the garden. So what is 2(x+y)?

St1) If outer perimeter of a walkaway is 124, 2*{(x+6)+(y+6)} = 124. We can calculate x+y from it. SUFF
St2) x*y=600. INSUFF
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The figure above represents a rectangular garden bordered by [#permalink]

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12 Dec 2015, 22:36
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2*{(x+6)+(y+6)} = 124

{(x+6)+(y+6)} = 62

X+Y+12=62

X+Y=50

But its imp to realize we must resist doing these sorts of calculations on DS as its enough to know if we have sufficient information to answer the question
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Re: The figure above represents a rectangular garden bordered by [#permalink]

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23 Dec 2015, 09:59
what does "outer perimeter" mean exactly though? they didn't give any info about garden just walkway so how is 1 sufficient?
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Re: The figure above represents a rectangular garden bordered by [#permalink]

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23 Dec 2015, 17:41
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

The figure above represents a rectangular garden bordered by a walkaway that has a uniform width of 3 feet. What's the perimeter of the garden?

1) The outer perimeter of the walkaway is 124 feet
2) The area of the garden is 600 feet.

Modify the original condition and the question. Suppose the width and the length of the garden ‘a’ and ‘b’ respectively. Then you can come up with an equation 2(a+b)=?. In 1), you can get a+b=50 from 2(a+b)+24=124, which is sufficient and therefore the answer is A.

-> Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
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Re: The figure above represents a rectangular garden bordered by [#permalink]

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22 Feb 2017, 07:31
NoHalfMeasures wrote:
Let x and y be two sides of the garden. So what is 2(x+y)?

St1) If outer perimeter of a walkaway is 124, 2*{(x+6)+(y+6)} = 124. We can calculate x+y from it. SUFF
St2) x*y=600. INSUFF

i understand St2) but am lost on St1).

Where do you get (x+6)(y+6)?

I understand Perimeter = 2(x+y). if outer perimeter is 124, isn't the equation: 124 = 2(x+y)? I understand the walkway (3') borders the garden so there needs to be a little more to the "x+y" but i can't understand why you put "x+6 and y"+6" here...
Re: The figure above represents a rectangular garden bordered by   [#permalink] 22 Feb 2017, 07:31
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