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

Question

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

Bunuel · Accepted Answer

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.

Alexmsi · Answer

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.

luckyme17187 · Answer

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

formula perimeter= 2L+2W..

equate then w= 60 , l= 120

abhishekgupta1103 · Answer

I am not able to access "The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project"

Any reason or technical bug....

Bunuel · Answer

The directory is here: the-official-guide-quantitative-question-directory-143450.html

fireinbelly · Answer

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

Bunuel · Answer

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.

zhumingiapple · Answer

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"?

Bunuel · Answer

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).

JeffTargetTestPrep · Answer

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.

https://i.imgur.com/5lPNUej.png

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

Divyadisha · Answer

2(L+B)= 360

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

A is the answer

Abhishek009 · Answer

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

adkikani · Answer

Bunuel   chetan2u   niks18

Is the highlighted text given only for confusion?

niks18 · Answer

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.

EMPOWERgmatRichC · Answer

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:  A

GMAT assassins aren't born, they're made, 
Rich

FANewJersey · Answer

Hi  Bunuel  and  Abhishek009 , When can we use and not use  "Back-Solving Method" ?

abhinav770 · Answer

#
Facing the same problem.

Bunuel · Answer

Here is the link: https://gmatclub.com/forum/the-official ... l#p1096539 All OG's: https://gmatclub.com/forum/gmac-officia ... 40610.html

bumpbot · Answer

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

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