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

It is currently 15 Nov 2018, 17:22

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • Free GMAT Strategy Webinar

     November 17, 2018

     November 17, 2018

     07:00 AM PST

     09:00 AM PST

    Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
  • GMATbuster's Weekly GMAT Quant Quiz # 9

     November 17, 2018

     November 17, 2018

     09:00 AM PST

     11:00 AM PST

    Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

In the figure, ABCD is a rectangle, and the area of triangle ACE is 10

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Retired Moderator
avatar
Joined: 03 Aug 2010
Posts: 210
In the figure, ABCD is a rectangle, and the area of triangle ACE is 10  [#permalink]

Show Tags

New post 28 Dec 2010, 05:45
2
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

80% (01:34) correct 20% (02:20) wrong based on 47 sessions

HideShow timer Statistics

Image
In the figure, ABCD is a rectangle, and the area of triangle ACE is 10, what is the area of rectangle ?

A. 18
B. 22.5
C. 36
D. 54
E. 60

Attachment:
Untitled.png
Untitled.png [ 4.15 KiB | Viewed 1666 times ]

_________________

http://www.gmatpill.com/gmat-practice-test/

Amazing Platform

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50613
In the figure, ABCD is a rectangle, and the area of triangle ACE is 10  [#permalink]

Show Tags

New post 28 Dec 2010, 06:07
2
hirendhanak wrote:
Image
In the figure, ABCD is a rectangle, and the area of triangle ACE is 10, what is the area of rectangle ?

A. 18
B. 22.5
C. 36
D. 54
E. 60


\(area_{ACE}=\frac{1}{2}*base*height=\frac{1}{2}*CE*AB=10\);

\(\frac{1}{2}*5*AB=10\);

\(AB=4\).


\(area_{ABCD}=AB*CB=AB*(CE+EB)=4*9=36\).


Answer: C.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Retired Moderator
avatar
Joined: 03 Aug 2010
Posts: 210
Re: In the figure, ABCD is a rectangle, and the area of triangle ACE is 10  [#permalink]

Show Tags

New post 28 Dec 2010, 07:23
thanks bunuel

I was not clear why we took AB as the height of triangle ACE . because AB is out of scope of the triangle ACE.

I thought AE becomes height of the triangle ACE.
_________________

http://www.gmatpill.com/gmat-practice-test/

Amazing Platform

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50613
Re: In the figure, ABCD is a rectangle, and the area of triangle ACE is 10  [#permalink]

Show Tags

New post 28 Dec 2010, 07:39
hirendhanak wrote:
thanks bunuel

I was not clear why we took AB as the height of triangle ACE . because AB is out of scope of the triangle ACE.

I thought AE becomes height of the triangle ACE.


The height of a triangle is the perpendicular from the base to the opposite vertex, sometimes the base may need to be extended. Since there are three possible bases, there are also three possible heights, so if we consider the base to be CE then the height will be the perpendicular from CE (CB) to the opposite vertex A, thus height is AB.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Senior Manager
Senior Manager
User avatar
S
Joined: 23 Feb 2015
Posts: 449
GMAT 1: 720 Q49 V40
GMAT ToolKit User
In the figure, ABCD is a rectangle, and the area of triangle ACE is 10  [#permalink]

Show Tags

New post 28 Sep 2016, 13:04
3
In the figure, ABCD is a rectangle, and the area of triangle ACE is 10. What is the area of the rectangle?
Attachment:
24.PNG
24.PNG [ 18.34 KiB | Viewed 3092 times ]


A. 18
B. 22.5
C. 36
D. 44
E. 45
_________________

“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
― Henry Wadsworth Longfellow
Social Network:
https://www.facebook.com/IamAbuAsad

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7034
Re: In the figure, ABCD is a rectangle, and the area of triangle ACE is 10  [#permalink]

Show Tags

New post 28 Sep 2016, 19:11
1
iMyself wrote:
Hi Bunuel,
What's the procedure to solve this problem?
Thanks Expert...



Area of a triangle is height*base/2...
In ∆ACE, CE is the base and height is CD...
So CE*CD/2 = 10.....5*CD=20.....CD is 4...

So the two sides of the rectangle ABCD are 4 and (5+4) or 9..
Thus Area of rectangle is 4*9=36
C
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Senior Manager
Senior Manager
User avatar
S
Joined: 23 Feb 2015
Posts: 449
GMAT 1: 720 Q49 V40
GMAT ToolKit User
Re: In the figure, ABCD is a rectangle, and the area of triangle ACE is 10  [#permalink]

Show Tags

New post 29 Sep 2016, 00:00
chetan2u wrote:
iMyself wrote:
Hi Bunuel,
What's the procedure to solve this problem?
Thanks Expert...



Area of a triangle is height*base/2...
In ∆ACE, CE is the base and height is CD...
So CE*CD/2 = 10.....5*CD=20.....CD is 4...

So the two sides of the rectangle ABCD are 4 and (5+4) or 9..
Thus Area of rectangle is 4*9=36
C

Thank you chetan2u
_________________

“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
― Henry Wadsworth Longfellow
Social Network:
https://www.facebook.com/IamAbuAsad

Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3307
Location: India
GPA: 3.12
Premium Member CAT Tests
Re: In the figure, ABCD is a rectangle, and the area of triangle ACE is 10  [#permalink]

Show Tags

New post 30 Sep 2016, 02:26
I have a small doubt regarding this question, how can we consider CD an altitude for the triangle ACE?
_________________

You've got what it takes, but it will take everything you've got

Senior Manager
Senior Manager
User avatar
S
Joined: 23 Feb 2015
Posts: 449
GMAT 1: 720 Q49 V40
GMAT ToolKit User
Re: In the figure, ABCD is a rectangle, and the area of triangle ACE is 10  [#permalink]

Show Tags

New post 30 Sep 2016, 02:58
pushpitkc wrote:
I have a small doubt regarding this question, how can we consider CD an altitude for the triangle ACE?

That was also my question but end of the day we have to take it as altitude !


Sent from my iPhone using GMAT Club Forum mobile app
_________________

“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
― Henry Wadsworth Longfellow
Social Network:
https://www.facebook.com/IamAbuAsad

Board of Directors
User avatar
V
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3614
Premium Member Reviews Badge
In the figure, ABCD is a rectangle, and the area of triangle ACE is 10  [#permalink]

Show Tags

New post 30 Sep 2016, 05:02
1
iMyself wrote:
pushpitkc wrote:
I have a small doubt regarding this question, how can we consider CD an altitude for the triangle ACE?

That was also my question but end of the day we have to take it as altitude !


Sent from my iPhone using GMAT Club Forum mobile app


Height of a triangle is defined as the perpendicular distance from one of the vertices to its base.

So, If we are considering CE a base of the triangle. The perpendicular distance from C to its base is CD only. Notice, Base has been extended to B to get the height.
_________________

My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub | Importance of an Error Log!
Verbal Resources: All SC Resources at one place | All CR Resources at one place
Blog: Subscribe to Question of the Day Blog
GMAT Club Inbuilt Error Log Functionality - View More.
New Visa Forum - Ask all your Visa Related Questions - here.
New! Best Reply Functionality on GMAT Club!
Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free
Check our new About Us Page here.

Current Student
User avatar
B
Status: DONE!
Joined: 05 Sep 2016
Posts: 379
Re: In the figure, ABCD is a rectangle, and the area of triangle ACE is 10  [#permalink]

Show Tags

New post 17 Oct 2016, 20:10
This question tests your understanding of similar triangles.

You should derive the following equation using this concept:

(1/2)(9)(AB) - (1/2)(4)(AB) = 10
AB(5/2) = 10
AB = 4

Therefore, we know the rectangle is a 4x9. Area = 36 :)
Intern
Intern
avatar
Joined: 13 Jul 2016
Posts: 7
Re: In the figure, ABCD is a rectangle, and the area of triangle ACE is 10  [#permalink]

Show Tags

New post 17 Jan 2017, 07:43
Hi,,,lawiniecke,,,I have doubt that you subtract only ABE from whole,,,but there is another triangle ACD has which you didn't consider,,,so,,what's the reason??.?I mean ,,Area of ACE=10=1/2*9*AB-1/2*4*AB-area of ACE,,,why is it wrong?..Pls,,,,
Manager
Manager
User avatar
S
Joined: 25 Mar 2013
Posts: 245
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
GMAT ToolKit User Reviews Badge
Re: In the figure, ABCD is a rectangle, and the area of triangle ACE is 10  [#permalink]

Show Tags

New post 20 Jan 2017, 07:09
Area of a triangle ACE = 10
Area = bh/2
b = 5
10 = 5xh/2
h = 4
Now, Rectangle length = 4, width = 9(4+5)
Area = 4x9 = 36
C
_________________

I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you

Senior Manager
Senior Manager
User avatar
S
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 490
Location: India
Premium Member
Re: In the figure, ABCD is a rectangle, and the area of triangle ACE is 10  [#permalink]

Show Tags

New post 27 Feb 2017, 05:51
Area of triangle ACE = ½ *EC *AB
or 10 = ½ * 5*AB
or AB =4 BC =9.
Area of rectangle = 9*4
= 36. Option C
_________________

GMAT Mentors
Image

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8776
Premium Member
Re: In the figure, ABCD is a rectangle, and the area of triangle ACE is 10  [#permalink]

Show Tags

New post 14 Dec 2017, 05:02
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

GMAT Club Bot
Re: In the figure, ABCD is a rectangle, and the area of triangle ACE is 10 &nbs [#permalink] 14 Dec 2017, 05:02
Display posts from previous: Sort by

In the figure, ABCD is a rectangle, and the area of triangle ACE is 10

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


Copyright

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

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

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®.