BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

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

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2276
Joined: Sat Oct 14, 2017 6:10 am
Followed by:3 members

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

by VJesus12 » Mon Jun 17, 2019 4:28 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

What is the area of the quadrilateral bounded by the following lines?
\( l_1:\ y=\frac{3}{4}x+6\)
\(l_2:\ y=\frac{3}{4}x-6\)
\(l_3:\ y=-\frac{3}{4}x+6\)
\(l_4:\ y=-\frac{3}{4}x-6\)

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

[spoiler]OA=C[/spoiler]

Source: Manhattan GMAT
Top
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » Tue Jun 18, 2019 12:38 am
VJesus12 wrote:What is the area of the quadrilateral bounded by the following lines?
\( l_1:\ y=\frac{3}{4}x+6\)
\(l_2:\ y=\frac{3}{4}x-6\)
\(l_3:\ y=-\frac{3}{4}x+6\)
\(l_4:\ y=-\frac{3}{4}x-6\)

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

[spoiler]OA=C[/spoiler]

Source: Manhattan GMAT
By plugging-in x = 0, in the first two equations, we get coordinates of two vertices: 1. (0, 6) and (0, -6). Similarly, plugging-in y = 0, in the first two equations, we get coordinates of the other two vertices: 1. (8, 0) and (-8, 0).

With these 4 vertices, we get a quadrilateral. The area of the quadrilateral = (6√2) *(8√2) = 96

The correct answer: C

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: GRE Manhattan | ACT Prep Courses San Francisco | IELTS Prep Courses Boston | Seattle IELTS Tutoring | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Top
Post new topic Post Reply
• Page 1 of 1