GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 28Live Online Class with Top GRE Expert Mike Butville
08:00 PM EDT
-10:00 PM EDT
Top scores are possible when you enroll in a powerful GRE course, taught live online + 6 months access to TTP GRE OnDemand video courses included! Class starts Mon/Wed Sept. 28, 2026 - Dec. 9, 2026, 8:00pm-10:00pm EST
PQRS is a parallelogram and ST
[#permalink]
09 Jun 2021, 07:18
09 Jun 2021, 07:18
Expert Reply
2
Bookmarks
00:00
Question Stats:
65% (01:22) correct
34% (01:21) wrong based on 43 sessions
Hide Show timer Statistics
PQRS is a parallelogram and ST = TR. What is the ratio of the area of triangle QST to the area of the parallelogram?
A. 1 : 2
B. 1 : 3
C. 1 : 4
D. 1 : 5
E. it cannot be determined
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: PQRS is a parallelogram and ST
[#permalink]
09 Jun 2021, 07:35
09 Jun 2021, 07:35
1
Carcass wrote:
PQRS is a parallelogram and ST = TR. What is the ratio of the area of triangle QST to the area of the parallelogram?
A. 1 : 2
B. 1 : 3
C. 1 : 4
D. 1 : 5
E. it cannot be determined
Since ST = TR, let's let x = each length
Also, let's say the parallelogram has height h
So, the length of the parallelogram's base = x + x = 2x
Area of a PARALLELOGRAM = (base)(height)
= (2x)(h)
= 2xh
Now let's determine the area of triangle QST
Area of any triangle = (base)(height)/2
So, area of triangle QST = xh/2
What is the ratio of the area of triangle QST to the area of the parallelogram?
Answer = xh/2 : 2xh
Looks like we need to simplify our ratio.
Take: xh/2 : 2xh
Divide both sides by xh to get: 1/2 : 2_
Multiply both sides by 2 to get: 1 : 4
Answer: C
Cheers,
Brent
General Discussion
Re: PQRS is a parallelogram and ST
[#permalink]
19 Jul 2023, 14:38
19 Jul 2023, 14:38
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
