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# The figure above represents a rectangular garden bordered by a

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

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04 Jun 2014, 09:39
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45% (medium)

Question Stats:

66% (01:44) correct 34% (01:45) wrong based on 400 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.

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

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04 Jun 2014, 09:50
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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 a  [#permalink]

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12 Aug 2014, 02:23
1
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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Re: The figure above represents a rectangular garden bordered by a  [#permalink]

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12 Dec 2015, 23:36
1
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 a  [#permalink]

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23 Dec 2015, 10:59
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 a  [#permalink]

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23 Dec 2015, 18:41
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 a  [#permalink]

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22 Feb 2017, 08:31
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...
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Re: The figure above represents a rectangular garden bordered by a  [#permalink]

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08 Mar 2018, 13:29
Bunuel - What do we mean here by outer perimeter?
If the garden is surrounded by a walkway and the perimeter of that is 124 feet, then ideally the perimeter should be calculated as the perimeter of the bigger box - Perimeter of the garden.

Which i tried to solve but the variables get cancelled out 2(X+6+y+6)<------Perimeter of bigger box MINUS 2(X+Y)<------ Perimeter of the Garden(Smaller box)=124

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

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08 Mar 2018, 21:00
siddyj94 wrote:
Bunuel - What do we mean here by outer perimeter?
If the garden is surrounded by a walkway and the perimeter of that is 124 feet, then ideally the perimeter should be calculated as the perimeter of the bigger box - Perimeter of the garden.

Which i tried to solve but the variables get cancelled out 2(X+6+y+6)<------Perimeter of bigger box MINUS 2(X+Y)<------ Perimeter of the Garden(Smaller box)=124

The outer perimeter of the walkaway is the perimeter of the larger rectangle.
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Re: The figure above represents a rectangular garden bordered by a  [#permalink]

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29 Oct 2018, 09:02
NoHalfMeasures 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 walkway is 124 feet
(2) The area of the garden is 600 feet squared.

All lengths are considered in feet.

$$? = 2\left[ {\left( {a - 6} \right) + \left( {b - 6} \right)} \right]\,\,\,\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\boxed{\,\,\,? = a + b\,\,}$$

$$\left( 1 \right)\,\,\,2\left( {a + b} \right) = 124\,\,\,\, \Rightarrow \,\,\,\,? = a + b\,\,\,{\text{unique}}$$

$$\left( 2 \right)\,\,\left( {a - 6} \right)\left( {b - 6} \right) = 600\,\,\,\,\left\{ \begin{gathered} \,{\text{Take}}\,\,\left( {a,b} \right) = \left( {16,66} \right)\,\,\,\,\, \Rightarrow \,\,\,\,{\text{?}}\,\,{\text{ = }}\,\,{\text{16 + 66}}\,\, \hfill \\ \,{\text{Take}}\,\,\left( {a,b} \right) = \left( {26,36} \right)\,\,\,\,\, \Rightarrow \,\,\,\,{\text{?}}\,\,{\text{ = }}\,\,{\text{26 + 36}} \ne {\text{16 + 66}}\,\, \hfill \\ \end{gathered} \right.$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
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Re: The figure above represents a rectangular garden bordered by a  [#permalink]

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01 Nov 2018, 23:44
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.

Let the smaller reactangle be of dimension lxb. We need the value of 2(l+b). The outher rectangle is of the dimension l+6, b+6.

1. 2l + 2b + 24 = 124; l+b =100. Insufficient.
2. lb = 600. Insufficient.
Combining, we have two variables and two equations. Solvable.
Sufficient.
C.
Re: The figure above represents a rectangular garden bordered by a   [#permalink] 01 Nov 2018, 23:44
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