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

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swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Tue May 01, 2018 8:23 am

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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

The OA is D.

Please, can anyone explain this PS question? I can't get the correct answer. Thanks.

Source: Beat The GMAT — Problem Solving | Tue May 01, 2018 8:23 am

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Sionainn@PrincetonReview: GMAT Instructor; Posts: 41; Joined: Mon Mar 12, 2018 9:54 amFollowed by: 1 member

by Sionainn@PrincetonReview » Tue May 01, 2018 8:38 am

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.

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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 ∆PQS) + (area of ∆QRS) = (area of ∆PQR)
So, we can write: (area of ∆PQS) + (area of ∆QRS) = 40

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

Answer: D
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Brent

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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 ½ x 5 x 6 = 15, the area of triangle QRS is 40 - 15 = 25.

Answer: D

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