NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 00:40 It is currently 25 Apr 2024, 00:40
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

In the figure above, if the area of the larger square region is twice

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92901
Own Kudos [?]: 618870 [1]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
In the figure above, if the area of the larger square region is twice [#permalink] New post   28 Feb 2019, 00:24
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

79% (02:07) correct 21% (01:33) wrong based on 33 sessions
Hide Show timer Statistics

In the figure above, if the area of the larger square region is twice the area of the smaller square region, and if a diagonal of the smaller square has a length of 1 foot, then a side of the larger square is how many feet longer than a side of the smaller square?


A. \(\frac{2 - \sqrt{2}}{2}\)

B. \(\sqrt{2}-1\)

C. 1

D. \(\sqrt{2}\)

E. 2


Show Spoiler
Attachment:
2019-02-28_1121.png
2019-02-28_1121.png [ 2.83 KiB | Viewed 1231 times ]
ShowHide Answer
Official Answer
A
User avatar
S
sumi747
Manager
Manager
Joined: 17 May 2018
Posts: 128
Own Kudos [?]: 48 [1]
Given Kudos: 82
Location: India
Send PM
Re: In the figure above, if the area of the larger square region is twice [#permalink] New post   28 Feb 2019, 01:22
1
Kudos
Hi Bunuel the figure is missing. Could you please check it. Thank you

Posted from my mobile device
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92901
Own Kudos [?]: 618870 [1]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Re: In the figure above, if the area of the larger square region is twice [#permalink] New post   28 Feb 2019, 01:26
1
Kudos
Expert Reply
sumi747 wrote:
Hi Bunuel the figure is missing. Could you please check it. Thank you

Posted from my mobile device

_______________________
Fixed that. Thank you.
User avatar
S
sumi747
Manager
Manager
Joined: 17 May 2018
Posts: 128
Own Kudos [?]: 48 [1]
Given Kudos: 82
Location: India
Send PM
Re: In the figure above, if the area of the larger square region is twice [#permalink] New post   28 Feb 2019, 01:46
1
Kudos
By property of 45-90-45 triangle we get the sides of small triangle= 1/√2
Hence area of small sqr=1/2
Ar of large sqr= 2*1/2=1
Side of large sqr=1
Therefore difference in length of sides for large and small sqr= 1-1/√2 = (√2-1)/√2= √2*(√2-1)/√2*√2= (2-√2)/2
IMO A

Posted from my mobile device
Attachments

IMG_20190228_141553.jpg
IMG_20190228_141553.jpg [ 4.65 MiB | Viewed 1105 times ]

GMAT Club Bot
gmatclubot
Re: In the figure above, if the area of the larger square region is twice [#permalink]
28 Feb 2019, 01:46
Moderators:
Bunuel
Math Expert
92901 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 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