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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

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.

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

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

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

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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.

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.

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

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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"?

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).
_________________

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.

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
_________________

Jeffery Miller Head of GMAT Instruction

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions

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

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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
_________________

I welcome critical analysis of my post!! That will help me reach 700+

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

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20 May 2016, 11:15

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) _________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

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

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16 Jul 2017, 10:05

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