Last visit was: 17 Oct 2026, 14:17 It is currently 17 Oct 2026, 14:17
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

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

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 GRE 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
PREVIOUS TOPIC
NEXT TOPIC

ABCG and CDEF are squares with the same area that touch at p

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 36321
Own Kudos [?]: 43642 [1]
Given Kudos: 27315
Send PM
ABCG and CDEF are squares with the same area that touch at p [#permalink] New post   25 Nov 2020, 03:19
Expert Reply
1
Bookmarks
00:00

Question Stats:

73% (01:26) correct 26% (01:32) wrong based on 115 sessions

Hide Show timer Statistics

ABCG and CDEF are squares with the same area that touch at point C. \(∠BCD\) is a right angle.

Quantity A
Quantity B
3 times the length of AB
The length of AE



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation
ShowHide Answer
Official Answer
A
avatar
salvador1
Intern
Intern
Joined: 22 Dec 2020
Posts: 1
Own Kudos [?]: 2 [2]
Given Kudos: 0
Send PM
Re: ABCG and CDEF are squares with the same area that touch at p [#permalink] New post   23 Dec 2020, 03:16
2
If the area of the squares is the same, they must have the same lenght.

Choice A is 3 times AB.

Choice B can be found by tracing a triangle from A to E. Finding the hypothenus of one side AB and another side 2AB. Thus its \sqrt{5}*AB which is less than 3AB
avatar
S
COolguy101
Senior Manager
Senior Manager
Joined: 23 Jan 2021
Posts: 294
Own Kudos [?]: 194 [0]
Given Kudos: 81
Concentration: , International Business
Send PM
ABCG and CDEF are squares with the same area that touch at p [#permalink] New post   03 Jun 2021, 04:52
salvador1 wrote:
If the area of the squares is the same, they must have the same lenght.

Choice A is 3 times AB.

Choice B can be found by tracing a triangle from A to E. Finding the hypothenus of one side AB and another side 2AB. Thus its \sqrt{5}*AB which is less than 3AB




I did not understand sir, can you please elaborate?

Carcass sir, please provide official solution, i stuck :cry:
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 36321
Own Kudos [?]: 43642 [1]
Given Kudos: 27315
Send PM
Re: ABCG and CDEF are squares with the same area that touch at p [#permalink] New post   07 Jun 2021, 04:58
1
Expert Reply
OE

Draw it! You should end up with two squares oriented the same way touching at C. The squares have the same area, so their sides must be the same length. Plug in a side length for the squares to simplify the comparison—try 2. A square cut in half along its diagonal yields a pair of 45-45-90 triangles, so these two squares with sides of 2 each have diagonals of \(2 \sqrt{2}\) Diagonals AC and CE connect to form segment AE. Quantity A is 3 × 2 = 6, and Quantity B is \(2 \sqrt{2}+ 2 \sqrt{2} = 4 2 = 4 (1.4)=5.6\)

A is the answer
avatar
S
COolguy101
Senior Manager
Senior Manager
Joined: 23 Jan 2021
Posts: 294
Own Kudos [?]: 194 [0]
Given Kudos: 81
Concentration: , International Business
Send PM
Re: ABCG and CDEF are squares with the same area that touch at p [#permalink] New post   07 Jun 2021, 05:17
Posted from my mobile device
I did this and got different answer. What's wrong in this approach Carcass sir
Attachments

IMG_20210607_185832.jpg
IMG_20210607_185832.jpg [ 2.9 MiB | Viewed 4950 times ]

avatar
B
Richa1993
Intern
Intern
Joined: 23 Feb 2021
Posts: 7
Own Kudos [?]: 2 [0]
Given Kudos: 12
Send PM
Re: ABCG and CDEF are squares with the same area that touch at p [#permalink] New post   07 Jul 2021, 23:49
if we know ∠bcg and ∠acf are 90..then ∠bcd and ∠gcf are also 90...change your dig. accordingly, you'll see.
avatar
S
COolguy101
Senior Manager
Senior Manager
Joined: 23 Jan 2021
Posts: 294
Own Kudos [?]: 194 [0]
Given Kudos: 81
Concentration: , International Business
Send PM
Re: ABCG and CDEF are squares with the same area that touch at p [#permalink] New post   08 Jul 2021, 22:03
Richa1993 wrote:
if we know ∠bcg and ∠acf are 90..then ∠bcd and ∠gcf are also 90...change your dig. accordingly, you'll see.

Can you please upload a photo, I still could not get it .
Prep Club for GRE Bot
gmatclubot
Re: ABCG and CDEF are squares with the same area that touch at p [#permalink]
08 Jul 2021, 22:03
Moderators:
adewale223
GRE Instructor
167 posts
bronaugust
GRE Forum Moderator
37 posts
VibhuAnurag
GRE Instructor
275 posts
Nsp10
Moderator
45 posts
tyrant100
GRE Forum Moderator
144 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact | Advertise