• Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • 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
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT

What is the area of the quadrilateral bounded by the...

This topic has 1 expert reply and 0 member replies

What is the area of the quadrilateral bounded by the...

Post
What is the area of the quadrilateral bounded by the lines $$y=\frac{3}{4}x+6,\ y=\frac{3}{4}x-6,\ y=-\frac{3}{4}x+6,\ y=-\frac{3}{4}x-6$$

(A) 48
(B) 64
(C) 96
(D) 100
(E) 140

The OA is C.

Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks.

  • +1 Upvote Post
  • Quote
  • Flag
Post
swerve wrote:
What is the area of the quadrilateral bounded by the lines $$y=\frac{3}{4}x+6,\ y=\frac{3}{4}x-6,\ y=-\frac{3}{4}x+6,\ y=-\frac{3}{4}x-6$$

(A) 48
(B) 64
(C) 96
(D) 100
(E) 140

The OA is C.

Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks.
I can do half work for you; the rest you could follow.

1. Put x = 0 in the given equations, you would get two points (0, 6) and (0, -6).
2. Put y = 0 in the given equations, you would get two points (8, 0) and (-8, 0).
3. Plot them in the coordinate system.
4. You would get a quadrilateral bounded by the given lines.
5. You would find that the quadrilateral can be divided into four equal rectangles whose base and heights are 6 and 8.
6. Calculate the area of one rectangle = 1/2*6*8 = 24
7. Area of the quadrilateral = 4*24 = 96

The correct answer: C

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | New Delhi | Seoul | Cairo | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

  • +1 Upvote Post
  • Quote
  • Flag

Top First Responders*

1 Jay@ManhattanReview 84 first replies
2 Brent@GMATPrepNow 73 first replies
3 fskilnik 50 first replies
4 GMATGuruNY 37 first replies
5 Rich.C@EMPOWERgma... 16 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 image description fskilnik

GMAT Teacher

199 posts
2 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

166 posts
3 image description Scott@TargetTestPrep

Target Test Prep

118 posts
4 image description Jay@ManhattanReview

Manhattan Review

98 posts
5 image description Max@Math Revolution

Math Revolution

95 posts
See More Top Beat The GMAT Experts