Last visit was: 29 Apr 2026, 14:57 It is currently 29 Apr 2026, 14:57
Home
Messages
Tests
Schools
Events
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
Back to Forum
Create Topic
   1   2 
805+ (Hard)|   Geometry|      
User avatar
guireif
User avatar
Joined: 05 Jul 2016
Last visit: 17 Aug 2018
Posts: 14
Own Kudos:
100
Given Kudos: 373
Location: Brazil
Concentration: Finance, Entrepreneurship
WE:Analyst (Finance: Investment Banking)
Posts: 14
Kudos: 100
In the figure above, SQRE is a square, AB = AC, and AS = AQ. 21 Jul 2016, 07:55
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
guireif
Hi guys,

I know this is an old question, but I'm not sure about one thing.

Should I assume by looking at the figure that CE=RB? Because in the first statement it just say that RE is less than twice the length of BR, but how do I know that the triangle is "centered" with the square, by not looking the second statement?

thanks

Since AB = AC (triangle ABC is isosceles), and AS = AQ, then CE must be equal to RB.
Show more

Now I got it. Haven't noticed that AS=AQ. Perfect. Thank you so much
User avatar
rohit8865
User avatar
Joined: 05 Mar 2015
Last visit: 19 Apr 2026
Posts: 815
Own Kudos:
1,008
Given Kudos: 45
Products:
My Reviews
Posts: 815
Kudos: 1,008
In the figure above, SQRE is a square, AB = AC, and AS = AQ. 22 Jul 2016, 08:35
Kudos
Add Kudos
Bookmarks
Bookmark this Post
AccipiterQ
Attachment:
The attachment 2967-1.gif is no longer available
In the figure above, SQRE is a square, AB = AC, and AS = AQ. What is the difference between the perimeter of triangle ABC and the perimeter of square SQRE?

(1) The length of RE is 4 times the length of BR.

(2) The area of triangle ABC is 75% of the area of square SQRE.
Show more
(1)4BR=RE
2(BR+CE)=RE (since AC=AB && AS=AQ)
CB=RE/2+RE=3/2RE
Take triangle ACD
AC^2(3/4RE)^2+RE^2 (CD=1/2CB &&CB=3/2RE)
AC^2=25/16RE^2
AC=5/4RE
PERIMETER OF ABC=5/4RE+5/4RE+3/2RE=4RE
PERIMETER OF SQ.=4RE
Perimeters are equal.
suff.
(2) 1/2 CB*AD=3/4 RE^2 (75%=3/4)
as AD=RE
CB=3/2RE
same info as (1)

suff.

Ans D
Attachments

2967-1.gif
2967-1.gif [ 2.88 KiB | Viewed 2204 times ]

avatar
fireagablast
avatar
Joined: 30 Jun 2019
Last visit: 17 Aug 2021
Posts: 260
Own Kudos:
129
Given Kudos: 8
Posts: 260
Kudos: 129
In the figure above, SQRE is a square, AB = AC, and AS = AQ. 20 Nov 2020, 21:23
Kudos
Add Kudos
Bookmarks
Bookmark this Post
technically doesn't statement one being sufficient require that point A be centered? And we aren't given the A evenly splits SQ or the BR = CE.
I'm pretty sure i've seen a similar question in which the statement was NOT SUFFICIENT for this very reason.
User avatar
MBAB123
User avatar
Joined: 05 Jul 2020
Last visit: 30 Jul 2023
Posts: 528
Own Kudos:
319
Given Kudos: 150
GMAT 1: 720 Q49 V38
WE:Accounting (Accounting)
Products:
My Reviews
GMAT 1: 720 Q49 V38
Posts: 528
Kudos: 319
In the figure above, SQRE is a square, AB = AC, and AS = AQ. 21 Nov 2020, 04:55
Kudos
Add Kudos
Bookmarks
Bookmark this Post
fireagablast
technically doesn't statement one being sufficient require that point A be centered? And we aren't given the A evenly splits SQ or the BR = CE.
I'm pretty sure i've seen a similar question in which the statement was NOT SUFFICIENT for this very reason.
Show more

We are given AS=AQ.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,996
Own Kudos:
1,120
Posts: 38,996
Kudos: 1,120
In the figure above, SQRE is a square, AB = AC, and AS = AQ. 16 Apr 2022, 07:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
   1   2 
Moderators:
Bunuel
Math Expert
109975 posts
kingbucky
498 posts
Gmat860sanskar
212 posts