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A rectangular garden is to be twice as long as it is wide.

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A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 06 Aug 2012, 02:46
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A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?

(A) 120
(B) 140
(C) 160
(D) 180
(E) 200

Practice Questions
Question: 13
Page: 154
Difficulty: 550

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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 06 Aug 2012, 02:46
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SOLUTION

A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?

(A) 120
(B) 140
(C) 160
(D) 180
(E) 200

Say the width and the length of the garden are \(x\) and \(2x\), respectively.

Thus, \(perimeter=2(x+2x)=360\) --> \(6x=360\) --> \(2x=length=120\).

Answer: A.
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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 06 Aug 2012, 06:34
1
We know:

2W + 2L = Perimeter of the rect. garden

We know:

"A rectangular garden is to be twice as long as it is wide." , So.: 2W = L

Putting this Information in our Equation:

6W = Perimeter. Perimteter = 360 Yards, so W = 60.

2*60 = 120

L = 120 Yards.
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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 09 Sep 2014, 22:57
Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?

(A) 120
(B) 140
(C) 160
(D) 180
(E) 200

Practice Questions
Question: 13
Page: 154
Difficulty: 550


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given perimeter is of rectangle is 360. L=2W

formula perimeter= 2L+2W..

equate then w= 60 , l= 120
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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 10 Sep 2014, 01:42
I am not able to access "The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project"

Any reason or technical bug....
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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 10 Sep 2014, 04:03
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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 04 Apr 2015, 08:55
Bunuel wrote:
SOLUTION

A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?

(A) 120
(B) 140
(C) 160
(D) 180
(E) 200

Say the width and the length of the garden are \(x\) and \(2x\), respectively.

Thus, \(perimeter=2(x+2x)=360\) --> \(6x=360\) --> \(2x=length=120\).

Answer: A.


How do we decipher that 360 is perimeter and not area? can someone please help.
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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 05 Apr 2015, 05:17
1
fireinbelly wrote:
Bunuel wrote:
SOLUTION

A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?

(A) 120
(B) 140
(C) 160
(D) 180
(E) 200

Say the width and the length of the garden are \(x\) and \(2x\), respectively.

Thus, \(perimeter=2(x+2x)=360\) --> \(6x=360\) --> \(2x=length=120\).

Answer: A.


How do we decipher that 360 is perimeter and not area? can someone please help.
Thanks.


360 yards of fencing completely encloses the garden, so 360 is the length of the fencing. Also, we have units not square units, so it cannot be area.

Hope it's clear.
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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 02 Sep 2015, 04:52
Hi, I am still confused about the meaning of the question. A rectangular garden is to be twice as long as it is wide. =>"Say the width and the length of the garden are x and 2x, respectively. " Is there some difference between"the lengthen is twice as long as the width" and "twice as long as it is wide"?
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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 02 Sep 2015, 05:52
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zhumingiapple wrote:
Hi, I am still confused about the meaning of the question. A rectangular garden is to be twice as long as it is wide. =>"Say the width and the length of the garden are x and 2x, respectively. " Is there some difference between"the lengthen is twice as long as the width" and "twice as long as it is wide"?


No, both mean the same. Say if the length is 2, then the width is 1: garden is twice as long as it is wide (the length is twice as long as the width).
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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 20 May 2016, 04:23
Bunuel wrote:
A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?

(A) 120
(B) 140
(C) 160
(D) 180
(E) 200]


We first draw a diagram of our garden. The length of the rectangular garden is twice as long is it is wide. Thus, we know:

length = 2(width)

Thus, we can label length as 2w, where w = width. Let’s plug these values into the diagram.

Image

We are given that 360 yards of fencing will completely enclose the garden; thus, the perimeter of the garden is 360 yards. The formula for the perimeter of a rectangle is:

perimeter = 2(length) + 2(width)

Knowing that length = 2w, width = w, and perimeter = 360 we can plug all this info into our perimeter equation:

360 = 2(2w) + 2w

360 = 4w + 2w

360 = 6w

60 = w

Since the width of the garden is 60 yards, the length is 2 x 60 = 120 yards.

Answer: A
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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 20 May 2016, 08:58
Bunuel wrote:
A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?

(A) 120
(B) 140
(C) 160
(D) 180
(E) 200

Practice Questions
Question: 13
Page: 154
Difficulty: 550


2(L+B)= 360

L= 2B
2(2B +B) = 360
6B= 360
B= 60
L= 120

A is the answer
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A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 20 May 2016, 11:15
2
Bunuel wrote:
A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?

(A) 120
(B) 140
(C) 160
(D) 180
(E) 200

Practice Questions
Question: 13
Page: 154
Difficulty: 550


ALTERNATE APPROACH

Backsolving ( Using answer options to reach the correct answer ) can work wonders here if one is fast in calculations.

Given Perimeter is 360

So, 2 ( L + B ) = 360

Or, L + B = 180

Now use the answer options ( Given Length ; Breath will be half the length)

(A) 120

L = 120 ; B = 60

L + b = 180

(B) 140

L = 140 ; B = 70

L + b = 210

(C) 160

L = 160; B = 80

L + b = 240

(D) 180

L = 180; B = 90

L + b = 270

(E) 200

L = 200; B = 100

L + b = 300

Thus you see no, need of any calculations, U can reach the correct option only by checking options ; correct answer will be (A) :-D
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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 27 Jan 2018, 22:59
1
Bunuel chetan2u niks18

Quote:
A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?

(A) 120
(B) 140
(C) 160
(D) 180
(E) 200


Is the highlighted text given only for confusion?
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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 27 Jan 2018, 23:29
adkikani wrote:
Bunuel chetan2u niks18

Quote:
A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?

(A) 120
(B) 140
(C) 160
(D) 180
(E) 200


Is the highlighted text given only for confusion?


Hi adkikani

A garden will have an entrance and gate is a part of fencing. By including the statement the question clarifies that the fencing is regular and there is no GAP.
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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 03 Feb 2018, 16:59
Hi All,

This question can be solved by TESTing THE ANSWERS.

We're told that we're dealing with a rectangular garden that has a perimeter of 360 yards of fencing. This means that....

2(length) + 2(width) = 360
length + width = 180

We're also told that the length is TWICE the width. We're asked for the length of the garden. Since the answer choices are all numbers, it shouldn't take too much arithmetic to figure out which one fits all of the given information.

Let's TEST Answer B: 140 yards

IF the length is 140 yards, then...
180 - 140 = 40
140 = TWICE 70
40 does NOT = 70, so this cannot be the answer.

To 'shrink' the difference in the two values, we'll need a shorter length, and there's only one answer that fits THAT description. You can prove that it's correct with just a little more work though...

Let's TEST Answer A: 120 yards

IF the length is 140 yards, then...
180 - 120 = 60
120 = TWICE 60
60 DOES = 60, so this MUST be the answer.

Final Answer:

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A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 09 Apr 2018, 05:35
Abhishek009 wrote:
Bunuel wrote:
A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?

(A) 120
(B) 140
(C) 160
(D) 180
(E) 200

Practice Questions
Question: 13
Page: 154
Difficulty: 550


ALTERNATE APPROACH

Backsolving ( Using answer options to reach the correct answer ) can work wonders here if one is fast in calculations.

Given Perimeter is 360

So, 2 ( L + B ) = 360

Or, L + B = 180

Now use the answer options ( Given Length ; Breath will be half the length)

(A) 120

L = 120 ; B = 60

L + b = 180

(B) 140

L = 140 ; B = 70

L + b = 210

(C) 160

L = 160; B = 80

L + b = 240

(D) 180

L = 180; B = 90

L + b = 270

(E) 200

L = 200; B = 100

L + b = 300

Thus you see no, need of any calculations, U can reach the correct option only by checking options ; correct answer will be (A) :-D


Hi Bunuel and Abhishek009, When can we use and not use "Back-Solving Method"?
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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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New post 06 Jul 2018, 02:47
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Facing the same problem.
abhishekgupta1103 wrote:
I am not able to access "The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project"

Any reason or technical bug....

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Re: A rectangular garden is to be twice as long as it is wide.  [#permalink]

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Re: A rectangular garden is to be twice as long as it is wide.   [#permalink] 11 Aug 2019, 22:03
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