It is currently 12 Dec 2017, 15:52

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

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 42571

Kudos [?]: 135392 [0], given: 12691

In the diagram above, if the area of triangle LNO is 32, then what is [#permalink]

Show Tags

03 Jan 2016, 12:19
Expert's post
3
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:25) correct 28% (01:48) wrong based on 152 sessions

HideShow timer Statistics

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

[Reveal] Spoiler:
Attachment:

2016-01-04_0017.png [ 10.43 KiB | Viewed 1586 times ]
[Reveal] Spoiler: OA

_________________

Kudos [?]: 135392 [0], given: 12691

Manager
Joined: 09 Jul 2013
Posts: 110

Kudos [?]: 107 [0], given: 6

Re: In the diagram above, if the area of triangle LNO is 32, then what is [#permalink]

Show Tags

04 Jan 2016, 13:55
1
This post was
BOOKMARKED
Bunuel wrote:

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

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

_________________

Dave de Koos

Kudos [?]: 107 [0], given: 6

SVP
Joined: 11 Sep 2015
Posts: 1904

Kudos [?]: 2740 [0], given: 364

Re: In the diagram above, if the area of triangle LNO is 32, then what is [#permalink]

Show Tags

12 Aug 2016, 13:23
Expert's post
Top Contributor
Bunuel wrote:

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

[Reveal] Spoiler:
Attachment:
2016-01-04_0017.png

First examine the blue triangle.

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:

At this point, we can focus on the red triangle

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

[Reveal] Spoiler:
B

RELATED VIDEOS

_________________

Brent Hanneson – Founder of gmatprepnow.com

Kudos [?]: 2740 [0], given: 364

Non-Human User
Joined: 09 Sep 2013
Posts: 14897

Kudos [?]: 287 [0], given: 0

Re: In the diagram above, if the area of triangle LNO is 32, then what is [#permalink]

Show Tags

24 Aug 2017, 15:04
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.
_________________

Kudos [?]: 287 [0], given: 0

Re: In the diagram above, if the area of triangle LNO is 32, then what is   [#permalink] 24 Aug 2017, 15:04
Display posts from previous: Sort by