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

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swerve: Legendary Member; Posts: 2499; Joined: Sun Oct 29, 2017 2:04 pm; Followed by:6 members

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

by swerve » Mon Oct 15, 2018 10:33 am

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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

The OA is A.

Source: Official Guide

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Source: Beat The GMAT — Problem Solving | Mon Oct 15, 2018 10:33 am

fskilnik@GMATH: GMAT Instructor; Posts: 1449; Joined: Sat Oct 09, 2010 2:16 pm; Thanked: 59 times; Followed by:33 members

by fskilnik@GMATH » Mon Oct 15, 2018 12:09 pm

swerve 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
Source: Official Guide

width = x yards
length = 2x yards

FOCUS: ? = 2x [yards]

perimeter = 6x = 360 [yards]

? = 2x = 6x/3 = 120

Regards,
Fabio.

Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
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Portuguese-speakers :: https://www.gmath.com.br

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by [email protected] » Mon Oct 15, 2018 9:29 pm

Hi All,

We're told that a rectangular garden is to be TWICE as long as it is wide and 360 total yards of fencing, including the gate, will completely enclose the garden. We're asked for the length of the garden, in yards. This question can be solved in a couple of different ways, including by TESTing THE ANSWERS.

The 360 cars of fencing means that the PERIMETER of the garden will be 360. Answers D and E are clearly far too big - if either of those were the length, then the perimeter would be GREATER than 360. Let's TEST Answer B first...

Answer B: 140 yards...
IF... the length is 140, then
the width is HALF of that, so the width is 70 and
the total perimeter would be 140+140+70+70 = 420 yards.
This is clearly TOO BIG (the perimeter is supposed to be 360 yards). Thus, we need a SHORTER length. There's only one answer remaining...

Final Answer: A

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Contact Rich at [email protected]

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pm; Location: New York, NY; Thanked: 13060 times; Followed by:1906 members; GMAT Score:790

by GMATGuruNY » Tue Oct 16, 2018 3:43 am

swerve 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 can PLUG IN THE ANSWERS, which represent the length.
When the correct answer is plugged in, perimeter = 360.

B: 140
Since the length is twice the width, W = 70, with the result that the perimeter = 140+140+70+70 = 420.
Since the perimeter is too great, a SMALLER answer choice is needed.

The correct answer is A.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Tue Oct 16, 2018 5:16 pm

swerve 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

The length of the rectangular garden is twice as long it is wide. Thus, we know:

length = 2(width)

Thus, we can let w = width and so 2w = length. The perimeter is 360 yards, so we can create the 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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