• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## What is the area of the quadrilateral bounded by the... tagged by: swerve ##### This topic has 1 expert reply and 0 member replies ### Top Member ## What is the area of the quadrilateral bounded by the... 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. ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1607 messages Followed by: 27 members Upvotes: 470 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. • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to \$200

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

### Top First Responders*

1 Brent@GMATPrepNow 69 first replies
2 fskilnik@GMATH 54 first replies
3 Jay@ManhattanReview 48 first replies
4 GMATGuruNY 35 first replies
5 Rich.C@EMPOWERgma... 31 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 fskilnik@GMATH

GMATH Teacher

128 posts
2 Brent@GMATPrepNow

GMAT Prep Now Teacher

101 posts
3 Max@Math Revolution

Math Revolution

92 posts
4 Jay@ManhattanReview

Manhattan Review

86 posts
5 Rich.C@EMPOWERgma...

EMPOWERgmat

78 posts
See More Top Beat The GMAT Experts