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

It is currently 18 Mar 2019, 17:21

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

In the diagram above, if the area of triangle LNO is 32, then what is

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53657
In the diagram above, if the area of triangle LNO is 32, then what is  [#permalink]

Show Tags

New post 03 Jan 2016, 13:19
1
3
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

66% (01:55) correct 34% (01:52) wrong based on 176 sessions

HideShow timer Statistics

Image
In the diagram above, if the area of triangle LNO is 32, then what is the area of triangle LMN?

A. 24
B. \(24 \sqrt{2}\)
C. \(24 \sqrt{3}\)
D. 32
E. 48


Attachment:
2016-01-04_0017.png
2016-01-04_0017.png [ 10.43 KiB | Viewed 2640 times ]

_________________

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

Manager
Manager
avatar
Joined: 09 Jul 2013
Posts: 111
Re: In the diagram above, if the area of triangle LNO is 32, then what is  [#permalink]

Show Tags

New post 04 Jan 2016, 14:55
1
Bunuel wrote:
Image
In the diagram above, if the area of triangle LNO is 32, then what is the area of triangle LMN?

A. 24
B. \(24 \sqrt{2}\)
C. \(24 \sqrt{3}\)
D. 32
E. 48



Even though the figure looks like a square, that can NEVER be assumed. It explicitly states that the figure is not drawn to scale (something we should assume all the time unless it is stated otherwise), and we must ONLY work with the information given.

Examining triangle LNO, we are given that the

\(area= \frac{base * height}{2} = 32\)

Since we have a right angle at O, we can consider the base to be LO and the height to be ON. We are given the height = 8, so the base, LO, is \(\frac{area*2}{base} = \frac{32*2}{8}=8\)

So, triangle LNO is an isosceles right triangle, and therefore the hypotenuse, LN, is \(8\sqrt{2}\)

Now looking at triangle LMN, we have the height given as 6, and the base LN calculated as \(8\sqrt{2}\), so

\(area=\frac{6*8\sqrt{2}}{2} = 24\sqrt{2}\)

Answer: B
_________________

Dave de Koos
GMAT aficionado

CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3506
Location: Canada
Re: In the diagram above, if the area of triangle LNO is 32, then what is  [#permalink]

Show Tags

New post 12 Aug 2016, 14:23
Top Contributor
Bunuel wrote:
Image
In the diagram above, if the area of triangle LNO is 32, then what is the area of triangle LMN?

A. 24
B. \(24 \sqrt{2}\)
C. \(24 \sqrt{3}\)
D. 32
E. 48

Attachment:
2016-01-04_0017.png


First examine the blue triangle.
Image

We're told the area = 32
Area = (base)(height)/2
So, 32 = (x)(8)/2
Solve to get: x = 8

Since the blue triangle is a right triangle, we can apply the Pythagorean Theorem to find the length of the hypotenuse.
We get: 8² + 8² = hypotenuse²
Simplify: 128 = hypotenuse²
So, hypotenuse = √128 = 8√2

We get:
Image

At this point, we can focus on the red triangle
Image

We can see that we now have the length of the base AND the height.
So, area of red triangle = (base)(height)/2
= (8√2)(6)/2
= 24√2

Answer:


RELATED VIDEOS



_________________

Test confidently with gmatprepnow.com
Image

Intern
Intern
avatar
Joined: 23 Feb 2019
Posts: 1
Re: In the diagram above, if the area of triangle LNO is 32, then what is  [#permalink]

Show Tags

New post 23 Feb 2019, 23:16
Shouldn't the answer be 32 as the two triangles must be congruent and hence have the same area?
Manager
Manager
avatar
Joined: 09 Jul 2013
Posts: 111
Re: In the diagram above, if the area of triangle LNO is 32, then what is  [#permalink]

Show Tags

New post 24 Feb 2019, 11:53
RanjaniRaghupathi wrote:
Shouldn't the answer be 32 as the two triangles must be congruent and hence have the same area?



Why do you think the two triangles are congruent? We were never told that LMNO is a rectangle. This is a great example of "Note: figure not drawn to scale" being very important.

Remember, no assumptions. Use only the information provided and what can be inferred from it.

Posted from my mobile device
_________________

Dave de Koos
GMAT aficionado

GMAT Club Bot
Re: In the diagram above, if the area of triangle LNO is 32, then what is   [#permalink] 24 Feb 2019, 11:53
Display posts from previous: Sort by

In the diagram above, if the area of triangle LNO is 32, then what is

  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®.