In the figure below, the area of triangle PQR is 40.

To find the area of the triangle use the formula area = 1/2*base*height.

We can find the area of PQS is 1/2*5*6 = 15.

Then just subtract 15 from 40 to find the area of triangle QRS. This gives you 25 or choice D.

Take care,

BA - Stanford University, MPP - Harvard University
Instructor, tutor for Princeton Review and Airbnb host
In other words a blend of Jamie Escalante from Stand and Deliver, Julie from The Love Boat, and Schneider the Super from One Day at a Time.

Curious How You'll Score? Take a FREE GMATÂ® practice test or sample class
Ready to Prep? Exclusive discounts for Beat The GMATÂ® members HERE

Quote

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Tue May 01, 2018 9:00 am

swerve wrote:In the figure below the area of the triangle, PQR is area of 40. What is the area of the triangle QRS?

A. 10
B. 15
C. 20
D. 25
E. 45

We can see that: (area of âˆ†PQS) + (area of âˆ†QRS) = (area of âˆ†PQR)
So, we can write: (area of âˆ†PQS) + (area of âˆ†QRS) = 40

We also have enough information to determine the area of âˆ†PQS
Area of triangle = (base)(height)/2
So, area of âˆ†PQS = (5)(6)/2 = 30/2 = 15
Now add this information to our equation to get: 15 + (area of âˆ†QRS) = 40
Solve to get: area of âˆ†QRS = 25

Answer: D
Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

Quote

GMAT/MBA Expert

Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 am; Location: New York, NY; Thanked: 39 times; Followed by:22 members

by Jeff@TargetTestPrep » Thu May 03, 2018 3:30 pm

swerve wrote:In the figure below the area of the triangle, PQR is 40. What is the area of the triangle QRS?

A. 10
B. 15
C. 20
D. 25
E. 45

Since the area of triangle PQR is 40, and the area of triangle PQS is Â½ x 5 x 6 = 15, the area of triangle QRS is 40 - 15 = 25.

Answer: D

Jeffrey Miller
Head of GMAT Instruction
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

Quote

Post new topic Post Reply

• Page 1 of 1

5/5

5 Star (473 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review