NEW HERE? LEARN MORE
closeclose
Last visit was: 28 Apr 2024, 05:19 It is currently 28 Apr 2024, 05:19
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT 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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

PQRS is a rectangle and OPQ is a triangle with side PQ=6 units

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
B
arjunnath
Intern
Intern
Joined: 16 Jul 2017
Posts: 38
Own Kudos [?]: 23 [0]
Given Kudos: 347
Location: India
Concentration: Marketing, General Management
GMAT 1: 590 Q44 V27
GPA: 2.94
WE:Marketing (Advertising and PR)
Send PM
PQRS is a rectangle and OPQ is a triangle with side PQ=6 units [#permalink] New post   Updated on: 17 Sep 2021, 06:09
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

72% (01:35) correct 28% (02:00) wrong based on 61 sessions
Hide Show timer Statistics
PQRS is a rectangle and OPQ is a triangle with side PQ=6 units. With O as the centre point of RS.
What is the area of the rectangle PQRS?

1) Perimeter of isosceles triangle OPQ is 16 units.
2) Area of triangle OPQ is 12 square units.
ShowHide Answer
Official Answer
D

Originally posted by arjunnath on 16 Sep 2021, 22:36.
Last edited by arjunnath on 17 Sep 2021, 06:09, edited 1 time in total.
avatar
gmatpreparermuc98
Intern
Intern
Joined: 18 Dec 2020
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 2
Send PM
Re: PQRS is a rectangle and OPQ is a triangle with side PQ=6 units [#permalink] New post   17 Sep 2021, 05:07
I think, that:
Option 2) tells us which area the triangle has .But this does not give us sufficient data to calculate the are of the rectangle, which is the length and height of the rectangle.
Option 1) does gives us the length of the triangles base, but still we do not have sufficient date to calculate the are of the rectangle.

--> E
User avatar
B
arjunnath
Intern
Intern
Joined: 16 Jul 2017
Posts: 38
Own Kudos [?]: 23 [0]
Given Kudos: 347
Location: India
Concentration: Marketing, General Management
GMAT 1: 590 Q44 V27
GPA: 2.94
WE:Marketing (Advertising and PR)
Send PM
Re: PQRS is a rectangle and OPQ is a triangle with side PQ=6 units [#permalink] New post   17 Sep 2021, 06:16
The question has been corrected.
User avatar
B
arjunnath
Intern
Intern
Joined: 16 Jul 2017
Posts: 38
Own Kudos [?]: 23 [0]
Given Kudos: 347
Location: India
Concentration: Marketing, General Management
GMAT 1: 590 Q44 V27
GPA: 2.94
WE:Marketing (Advertising and PR)
Send PM
Re: PQRS is a rectangle and OPQ is a triangle with side PQ=6 units [#permalink] New post   17 Sep 2021, 06:30
Quote:
PQRS is a rectangle and OPQ is a triangle with side PQ=6 units. With O as the centre point of RS.
What is the area of the rectangle PQRS?

1) Perimeter of isosceles triangle OPQ is 16 units.
2) Area of triangle OPQ is 12 square units.



Statement 1

Since it is given the triangle is isosceles with base PQ, we can say that:
OP + PQ + OQ = 16
As O is the centre of RS, OP=OQ
Therefore, OP=OQ=5

With Pythagoras, we can find the value of RQ which comes to 4.

As we know the length and the width of the rectangle, we can calculate the area.

Hence, Statement 1 alone is sufficient.

Statement 2

Area of triangle OPQ is given as 12 sq units.
Area of triangle = 1/2 * base * height
Therefore, 1/2 * 6 * height =12 ................(Base is PQ = 6 units)
height= 4 units

The height of the triangle is also the width of the rectangle

As we know the length and the width of the rectangle, we can calculate the area.

Hence, Statement 2 alone is sufficient.

Both Statements are sufficient to answer the question.

Answer is D
GMAT Club Bot
gmatclubot
Re: PQRS is a rectangle and OPQ is a triangle with side PQ=6 units [#permalink]
17 Sep 2021, 06:30
Moderator:
Bunuel
Math Expert
92964 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions