GMAT Question of the Day - Daily to your Mailbox; hard ones only
close

It is currently 15 Dec 2019, 08:38
Register
GMAT Club Tests
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

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
CLICK HERE TO HIDE/SHOW EVENTS

The area of each of the 16 square regions in the figure abov

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Print view
First unread post
 
  Sort by Date Sort by Kudos  
Search for:
 
PREVIOUS TOPIC
NEXT TOPIC
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 685
The area of each of the 16 square regions in the figure abov  [#permalink]

Show Tags

New post Updated on: 10 Sep 2013, 00:55
1
18
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

74% (02:17) correct 26% (02:10) wrong based on 308 sessions

HideShow timer Statistics

Attachment:
Untitled.png
Untitled.png [ 24.67 KiB | Viewed 7037 times ]
The area of each of the 16 square regions in the figure above is T. What is the area of the shaded region?

A. \(\frac{13T}{3}\)

B. \(5T\)

C. \(\frac{16T}{3}\)

D. \(\frac{11T}{2}\)

E. \(7T\)

Spoiler: ::
Please provide detailed explanations!
Spoiler: OA

Originally posted by fozzzy on 10 Sep 2013, 00:30.
Last edited by Bunuel on 10 Sep 2013, 00:55, edited 1 time in total.
Edited the question.
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59729
CAT Tests
Top Member of the Month
Re: The area of each of the 16 square regions in the figure abov  [#permalink]

Show Tags

New post 10 Sep 2013, 01:03
6
2
fozzzy wrote:
Image
The area of each of the 16 square regions in the figure above is T. What is the area of the shaded region?

A. \(\frac{13T}{3}\)

B. \(5T\)

C. \(\frac{16T}{3}\)

D. \(\frac{11T}{2}\)

E. \(7T\)

Spoiler: ::
Please provide detailed explanations!



The whole area = 16T.

The areas of three unshaded triangles are = T + 6T + 4T = 11T (half of a rectangle with area of 2 + half of a rectangle with area of 12 + half of a rectangle with area of 8).

The area of the shaded region = 16T - 11T = 5T.

Answer: B.

Similar question to practice: what-is-the-area-of-a-triangle-with-the-following-vertices-125983.html
_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
General Discussion
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 685
Re: The area of each of the 16 square regions in the figure abov  [#permalink]

Show Tags

New post Updated on: 10 Sep 2013, 05:27
1
So basically what you have done is count the squares and calculated the area's I have modified the image and added color ( Red,Black and blue) so

Black has 4*2*1/2
Red has 4*3*1/2
Blue has 2*1*1/2

is this correct and then subtract from the total?
Attachments

image modified.png
image modified.png [ 21.29 KiB | Viewed 6323 times ]


Originally posted by fozzzy on 10 Sep 2013, 01:21.
Last edited by fozzzy on 10 Sep 2013, 05:27, edited 1 time in total.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59729
CAT Tests
Top Member of the Month
Re: The area of each of the 16 square regions in the figure abov  [#permalink]

Show Tags

New post 10 Sep 2013, 01:23
fozzzy wrote:
So basically what you have done is count the squares and took the area's I have modified the image and added color ( Red,Black and blue) so

Black has 4*2*1/2
Red has 4*3*1/2
Blue has 2*1*1/2

is this correct and then subtract from the total?


Yes, that's correct.
_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Manager
Manager
avatar
Joined: 07 May 2013
Posts: 87
Re: The area of each of the 16 square regions in the figure abov  [#permalink]

Show Tags

New post 19 Nov 2013, 23:05
16T-[(\(\frac{1}{2}\)*2\(\sqrt{T}\)*\(\sqrt{T}\))+(\(\frac{1}{2}\)*4\(\sqrt{T}\)*3\(\sqrt{T}\))+(\(\frac{1}{2}\)*2\(\sqrt{T}\)*4\(\sqrt{T}\))] = 5T
Intern
Intern
avatar
Joined: 07 Feb 2011
Posts: 12
GMAT 1: 580 Q47 V24
Re: The area of each of the 16 square regions in the figure abov  [#permalink]

Show Tags

New post 07 Mar 2014, 07:43
Bunuel.. can you please elaborate on "The areas of three unshaded triangles are = T + 6T + 4T = 11T (half of a rectangle with area of 2 + half of a rectangle with area of 12 + half of a rectangle with area of 8)."
I not able to follow this part.
Manager
Manager
avatar
Joined: 20 Dec 2013
Posts: 222
Location: India
Re: The area of each of the 16 square regions in the figure abov  [#permalink]

Show Tags

New post 07 Mar 2014, 17:58
Option B.
Let T be any convenient no. say 36.
Side of each smaller square=6
Side of bigger square=6*4=24
Area shaded=24^2-(area of 3 unshaded right triangles)
=576-36-144-216
=180
Which is 5*36
Ans:5T

Posted from my mobile device
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59729
CAT Tests
Top Member of the Month
Re: The area of each of the 16 square regions in the figure abov  [#permalink]

Show Tags

New post 08 Mar 2014, 05:57
1
satsymbol wrote:
Bunuel.. can you please elaborate on "The areas of three unshaded triangles are = T + 6T + 4T = 11T (half of a rectangle with area of 2 + half of a rectangle with area of 12 + half of a rectangle with area of 8)."
I not able to follow this part.

Attachment:
Untitled.png
Untitled.png [ 32 KiB | Viewed 5848 times ]


The areas of three unshaded triangles are =
Half of the area of blue rectangle with area of 2T , thus T;
Half of the area of black rectangle with area of 8T , thus 4T.
Half of the area of red rectangle with area of 12T , thus 6T.

T + 4T + 6T = 11T.

Hope it's clear.
_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Intern
Intern
User avatar
B
Joined: 27 May 2018
Posts: 9
GMAT ToolKit User
The area of each of the 16 square regions in the figure abov  [#permalink]

Show Tags

New post 18 Oct 2018, 09:02
fozzzy wrote:
Attachment:
Untitled.png
The area of each of the 16 square regions in the figure above is T. What is the area of the shaded region?

A. \(\frac{13T}{3}\)

B. \(5T\)

C. \(\frac{16T}{3}\)

D. \(\frac{11T}{2}\)

E. \(7T\)

Spoiler: ::
Please provide detailed explanations!


my answer is
The 2nd horizontal line divides the shape into two triangles having the same base and the same ht.

area=2*1/2* sqrt(T)*(1+1+.5)*(sqrt(T)(1+1)
=5T

Is my approach correct??
_________________
GMAT Side effects
-------------------
G-Groggy
M-Mental
A-Annoyed
T-Twitted
Signature Read More
Manager
Manager
User avatar
G
Joined: 07 Aug 2018
Posts: 107
Location: United States (MA)
GMAT 1: 560 Q39 V28
GMAT 2: 670 Q48 V34
The area of each of the 16 square regions in the figure abov  [#permalink]

Show Tags

New post 19 Oct 2018, 06:14
Rather simple, but maybe more time consuming approach is to simply estimate and count the fraction of the shaded areas in each square:

\(\frac{1}{3}+\frac{2}{3}+\frac{1}{3}+\frac{1}{3}+\frac{2}{3}+\frac{2}{3}+\frac{3}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=\frac{15}{3}=5\)
_________________
Quantitative Megathread:https://gmatclub.com/forum/ultimate-gmat-quantitative-megathread-244512.html
Verbal Megathread:https://gmatclub.com/forum/all-you-need-for-gmat-verbal-164070.html
Flashcards Quant + Verbal:https://gmatclub.com/forum/gmat-flashcards-108651.html
Thursdays with Ron:https://gmatclub.com/forum/manhattan-s-thursdays-with-ron-consolidated-video-index-223612.html#p2138753
Signature Read More
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13745
Re: The area of each of the 16 square regions in the figure abov  [#permalink]

Show Tags

New post 22 Nov 2019, 01:51
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
Re: The area of each of the 16 square regions in the figure abov   [#permalink] 22 Nov 2019, 01:51
Print view
First unread post
Display posts from previous: Sort by

The area of each of the 16 square regions in the figure abov

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Moderators: chetan2u, Gladiator59, Bunuel, VeritasKarishma, generis

Search for:
PREVIOUS TOPIC
NEXT TOPIC





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