Find all School-related info fast with the new School-Specific MBA Forum

It is currently 03 Jul 2015, 20:11

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

ABCD is a square picture frame (see figure). EFGH is a

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
User avatar
Joined: 23 Mar 2011
Posts: 474
Location: India
GPA: 2.5
WE: Operations (Hospitality and Tourism)
Followers: 13

Kudos [?]: 142 [0], given: 59

ABCD is a square picture frame (see figure). EFGH is a [#permalink] New post 19 Feb 2012, 22:15
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (01:58) correct 0% (00:00) wrong based on 12 sessions
ABCD is a square picture frame (see figure). EFGH is a square inscribed within ABCD as a space for a picure. The area of EFGH (for the picture) is equal to the area of the picture frame (the area of ABCD minus the area of EFGH). If AB = 6, what is the length of EF?
Attachment:
Picture.PNG
Picture.PNG [ 8.57 KiB | Viewed 5105 times ]



Hi, this question is annoying me, as I believe I am unable to read it straight. Pls help.
_________________

"When the going gets tough, the tough gets going!"

Bring ON SOME KUDOS MATES+++



-----------------------------
Quant Notes consolidated: consolodited-quant-guides-of-forum-most-helpful-in-preps-151067.html#p1217652

My GMAT journey begins: my-gmat-journey-begins-122251.html

All about Richard Ivey: all-about-richard-ivey-148594.html#p1190518


Last edited by Bunuel on 19 Feb 2012, 22:43, edited 1 time in total.
Edited the question and added the figure
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 28272
Followers: 4469

Kudos [?]: 45136 [1] , given: 6645

Re: ABCD is a square picture frame (see figure). EFGH is a [#permalink] New post 19 Feb 2012, 22:51
1
This post received
KUDOS
Expert's post
sdas wrote:
ABCD is a square picture frame (see figure). EFGH is a square inscribed within ABCD as a space for a picure. The area of EFGH (for the picture) is equal to the area of the picture frame (the area of ABCD minus the area of EFGH). If AB = 6, what is the length of EF?
Attachment:
The attachment Picture.PNG is no longer available



Hi, this question is annoying me, as I believe I am unable to read it straight. Pls help.


Attachment:
Picture2.PNG
Picture2.PNG [ 8.57 KiB | Viewed 5095 times ]
Look at the figure above, since the area of of the picture frame (shaded region) is equal to the area of EFGH, then the area of EFGH is half of the area of the big square ABCD, which is 6^2=36. Hence, the area of EFGH = 18. The side of the square EFGH is \(\sqrt{18}=3\sqrt{2}\) (since area=side^2).

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Manager
Manager
avatar
Joined: 22 Sep 2011
Posts: 214
GMAT 1: 720 Q49 V40
GMAT 2: Q V
Followers: 1

Kudos [?]: 32 [0], given: 3

Re: ABCD is a square picture frame (see figure). EFGH is a [#permalink] New post 19 Feb 2012, 22:57
sdas wrote:
ABCD is a square picture frame (see figure). EFGH is a square inscribed within ABCD as a space for a picure. The area of EFGH (for the picture) is equal to the area of the picture frame (the area of ABCD minus the area of EFGH). If AB = 6, what is the length of EF?
Attachment:
Picture.PNG



Hi, this question is annoying me, as I believe I am unable to read it straight. Pls help.


Area of ABCD = 36

Area of EFGH = 18 - area of EFGH is equal to area of picture frame - they're each 1/2 of the total area (36)

A=bh
18=x^2 (b & h are equal since it is a square)

Length of EF = sqrt(18) = 3*sqrt(2)
Senior Manager
Senior Manager
User avatar
Joined: 23 Mar 2011
Posts: 474
Location: India
GPA: 2.5
WE: Operations (Hospitality and Tourism)
Followers: 13

Kudos [?]: 142 [0], given: 59

Re: ABCD is a square picture frame (see figure). EFGH is a [#permalink] New post 19 Feb 2012, 23:05
Thank you folks. I missed understanding the shaded part and picture area (EFGH). Thanks Bunuel and Jazzman
_________________

"When the going gets tough, the tough gets going!"

Bring ON SOME KUDOS MATES+++



-----------------------------
Quant Notes consolidated: consolodited-quant-guides-of-forum-most-helpful-in-preps-151067.html#p1217652

My GMAT journey begins: my-gmat-journey-begins-122251.html

All about Richard Ivey: all-about-richard-ivey-148594.html#p1190518

Manager
Manager
avatar
Joined: 13 Jul 2013
Posts: 76
GMAT 1: 570 Q46 V24
Followers: 0

Kudos [?]: 6 [0], given: 21

Re: ABCD is a square picture frame (see figure). EFGH is a [#permalink] New post 10 Oct 2013, 07:36
Hi,

But where does it say the area of EFGH is half of the area of the big square ABCD?

Thanks
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 28272
Followers: 4469

Kudos [?]: 45136 [0], given: 6645

Re: ABCD is a square picture frame (see figure). EFGH is a [#permalink] New post 10 Oct 2013, 08:02
Expert's post
theGame001 wrote:
Hi,

But where does it say the area of EFGH is half of the area of the big square ABCD?

Thanks


It's given in the stem: the area of EFGH (for the picture) is equal to the area of the picture frame (the area of ABCD minus the area of EFGH) --> area(ABCD)-area(EFGH)=area(EFGH) --> area(ABCD)=2*area(EFGH).

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Manager
Manager
avatar
Joined: 13 Jul 2013
Posts: 76
GMAT 1: 570 Q46 V24
Followers: 0

Kudos [?]: 6 [0], given: 21

Re: ABCD is a square picture frame (see figure). EFGH is a [#permalink] New post 10 Oct 2013, 08:14
Crystal clear, thanks a lot
Intern
Intern
avatar
Joined: 10 Nov 2013
Posts: 17
Location: United States
Concentration: Healthcare, Strategy
Schools: Kellogg PT '15
WE: Information Technology (Health Care)
Followers: 1

Kudos [?]: 8 [0], given: 130

GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: ABCD is a square picture frame (see figure). EFGH is a [#permalink] New post 13 Nov 2013, 19:22
Also,

Consider area of the picture frame is X.

Area of the Picture frame = Area of ABCD - Area of EFGH (which is equal to the area of the picture frame)
Upon substituting,
X = (6*6) - X
2X = 36
X (area) = 18

Side = \sqrt{18}
= 3\sqrt{2}
Manager
Manager
avatar
Joined: 07 May 2013
Posts: 109
Followers: 0

Kudos [?]: 12 [0], given: 1

Re: ABCD is a square picture frame (see figure). EFGH is a [#permalink] New post 14 Nov 2013, 17:13
Follow the question stem. Area(EFGH)=area(ABCD)-area(EFGH)------>2*area(EFGH)=area(ABCD). This means that area(EFGH)=1/2*area(ABCD).
Intern
Intern
avatar
Joined: 02 Dec 2014
Posts: 1
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: ABCD is a square picture frame (see figure). EFGH is a [#permalink] New post 09 Dec 2014, 16:25
Hi,

How can you infer that the area of EFGH is "Half" of the Area of ABCD?
Im unable to understand that. Please explain

Thank you in advance :)

Bunuel wrote:
sdas wrote:
ABCD is a square picture frame (see figure). EFGH is a square inscribed within ABCD as a space for a picure. The area of EFGH (for the picture) is equal to the area of the picture frame (the area of ABCD minus the area of EFGH). If AB = 6, what is the length of EF?
Attachment:
Picture.PNG



Hi, this question is annoying me, as I believe I am unable to read it straight. Pls help.


Attachment:
Picture2.PNG
Look at the figure above, since the area of of the picture frame (shaded region) is equal to the area of EFGH, then the area of EFGH is half of the area of the big square ABCD, which is 6^2=36. Hence, the area of EFGH = 18. The side of the square EFGH is \(\sqrt{18}=3\sqrt{2}\) (since area=side^2).

Hope it's clear.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 28272
Followers: 4469

Kudos [?]: 45136 [0], given: 6645

ABCD is a square picture frame (see figure). EFGH is a [#permalink] New post 09 Dec 2014, 16:26
Expert's post
nish4every1 wrote:
Hi,

How can you infer that the area of EFGH is "Half" of the Area of ABCD?
Im unable to understand that. Please explain

Thank you in advance :)

Bunuel wrote:
sdas wrote:
ABCD is a square picture frame (see figure). EFGH is a square inscribed within ABCD as a space for a picure. The area of EFGH (for the picture) is equal to the area of the picture frame (the area of ABCD minus the area of EFGH). If AB = 6, what is the length of EF?
Attachment:
Picture.PNG



Hi, this question is annoying me, as I believe I am unable to read it straight. Pls help.


Attachment:
Picture2.PNG
Look at the figure above, since the area of of the picture frame (shaded region) is equal to the area of EFGH, then the area of EFGH is half of the area of the big square ABCD, which is 6^2=36. Hence, the area of EFGH = 18. The side of the square EFGH is \(\sqrt{18}=3\sqrt{2}\) (since area=side^2).

Hope it's clear.


Have you read this: abcd-is-a-square-picture-frame-see-figure-efgh-is-a-127823.html#p1276619 ?
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1859
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 23

Kudos [?]: 964 [0], given: 193

Re: ABCD is a square picture frame (see figure). EFGH is a [#permalink] New post 09 Dec 2014, 23:43
Refer modified diagram below:

Attachment:
Picture.PNG
Picture.PNG [ 16.12 KiB | Viewed 1369 times ]


Given that area of orange region = area of white region in the square

It means that, if the small square EFGH is rotated 45 degree, it will exactly touch midpoints(AE = EB = 3) of square ABCD sides

\(EF = \sqrt{3^2 + 3^2} = \sqrt{18} = 3\sqrt{2}\)
_________________

Kindly press "+1 Kudos" to appreciate :)

Director
Director
User avatar
Joined: 07 Aug 2011
Posts: 588
Concentration: International Business, Technology
GMAT 1: 630 Q49 V27
Followers: 2

Kudos [?]: 223 [0], given: 75

GMAT ToolKit User
Re: ABCD is a square picture frame (see figure). EFGH is a [#permalink] New post 11 Apr 2015, 06:54
sdas wrote:
ABCD is a square picture frame (see figure). EFGH is a square inscribed within ABCD as a space for a picure. The area of EFGH (for the picture) is equal to the area of the picture frame (the area of ABCD minus the area of EFGH). If AB = 6, what is the length of EF?
Attachment:
Picture.PNG



Hi, this question is annoying me, as I believe I am unable to read it straight. Pls help.



\(6^2 -EF^2 = EF^2\)

\(EF^2=18\)

\(EF= 3 \sqrt{2}\)
_________________

Thanks,
Lucky

_______________________________________________________
Kindly press the Image to appreciate my post !! :-)

Re: ABCD is a square picture frame (see figure). EFGH is a   [#permalink] 11 Apr 2015, 06:54
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic In the figure above, square AFGE is inside square ABCD such PareshGmat 3 20 Aug 2014, 23:45
48 In the figure above, ABCD is a square, and the two diagonal greatps24 20 03 Mar 2013, 01:36
10 Experts publish their posts in the topic ABCD is a parallelogram (see figure). The ratio of DE to EC sugu86 10 25 Apr 2012, 23:57
6 Experts publish their posts in the topic In the figure above, square AFGE is inside square ABCD such nafishasan60 7 10 Feb 2012, 05:39
7 Experts publish their posts in the topic Square ABCD is the base of the cube while square EFGH is the bmwhype2 9 26 Nov 2007, 23:24
Display posts from previous: Sort by

ABCD is a square picture frame (see figure). EFGH is a

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.