• Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT

A rectangular garden

This topic has 3 expert replies and 0 member replies
boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
Joined
25 Apr 2016
Posted:
93 messages
Thanked:
1 times

A rectangular garden

Post Thu Apr 28, 2016 1:25 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    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

    A

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!

    GMAT/MBA Expert

    Post Thu Apr 28, 2016 2:10 pm
    We want the length, so let's call that x.

    Length = x

    Width is half that, so

    Width = x/2

    We know that the perimeter is 360, so

    2*L + 2*W = 360

    2*x + 2*(x/2) = 360

    2x + x = 360

    x = 120

    Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!
    Post Thu Apr 28, 2016 2:18 pm
    boomgoesthegmat 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

    A
    Normally, I’d use the 1-variable approach that Matt used. However, I’ll also show how we can also use 2 variables.

    Let W = the width of the rectangle
    Let L = the length of the rectangle

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

    360 yards of fencing, including the gate, will completely enclose the garden
    In other words, the perimeter is 360.
    So, we can write: L + L + W + W = 360
    Simplify to get: 2L + 2W = 360

    So, we have the following system of 2 equations with 2 unknowns:
    L = 2W
    2L + 2W = 360

    We can take 2W in the bottom equation and replace it with L to get: 2L + L = 360
    Simplify: 3L = 360
    Solve: L = 120
    Answer: A

    Related Resources
    The following videos cover the concepts/strategies that are useful for answering this question:
    - Assigning variables: https://www.gmatprepnow.com/module/gmat-word-problems/video/902
    - Writing equations: https://www.gmatprepnow.com/module/gmat-word-problems/video/903
    - How many variables to assign?: https://www.gmatprepnow.com/module/gmat-word-problems/video/906

    Cheers,
    Brent

    _________________
    Brent Hanneson – Founder of GMATPrepNow.com
    Use our video course along with Beat The GMAT's free 60-Day Study Guide

    Check out the online reviews of our course
    Come see all of our free resources

    GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!
    Post Thu Apr 28, 2016 6:40 pm
    Hi boomgoesthegmat,

    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

    _________________
    Contact Rich at Rich.C@empowergmat.com

    Best Conversation Starters

    1 Vincen 152 topics
    2 lheiannie07 61 topics
    3 Roland2rule 49 topics
    4 ardz24 40 topics
    5 LUANDATO 32 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    141 posts
    2 image description EconomistGMATTutor

    The Economist GMAT Tutor

    107 posts
    3 image description GMATGuruNY

    The Princeton Review Teacher

    106 posts
    4 image description Rich.C@EMPOWERgma...

    EMPOWERgmat

    104 posts
    5 image description Matt@VeritasPrep

    Veritas Prep

    76 posts
    See More Top Beat The GMAT Experts