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

Redeem

What is the x-intercept of line l?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2499
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

What is the x-intercept of line l?

by swerve » Fri Dec 08, 2017 10:47 am
Image

In the figure above, the area of the triangle AOB is 30 and the y-intercept of line l is 5. What is the x-intercept of the line l?

A. 25
B. 24
C. 12
D. 6
E. 0

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.
Top
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 555
Joined: Wed Oct 04, 2017 4:18 pm
Thanked: 180 times
Followed by:12 members

by EconomistGMATTutor » Fri Dec 08, 2017 12:35 pm
Hello swerve.

Let's take a look at your question.

The area of the triangle is $$A=\frac{AO\cdot OB}{2}.$$ By the other hand, the y-intercept of line l is 5, it implies that $$OA=5\ and\ OB=x.$$ Replacing this on the area we will get: $$A=\frac{5\cdot x}{2}=30\ \leftrightarrow\ 5x=60\ \leftrightarrow\ x=12.$$ So, the correct answer is C.

I hope this explanation may help you.

Feel free to ask me again if you have a doubt.

Regards.
GMAT Prep From The Economist
We offer 70+ point score improvement money back guarantee.
Our average student improves 98 points.

Image
Top
Post new topic Post Reply
• Page 1 of 1