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

 It is currently 21 Sep 2018, 08:54

### 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

# What is the area of the triangle in the figure above?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49300
What is the area of the triangle in the figure above?  [#permalink]

### Show Tags

27 Dec 2015, 10:42
1
9
00:00

Difficulty:

55% (hard)

Question Stats:

69% (02:19) correct 31% (02:48) wrong based on 80 sessions

### HideShow timer Statistics

What is the area of the triangle in the figure above?

A. $$2+2\sqrt{3}$$
B. $$4\sqrt{3}$$
C. 8
D. $$8\sqrt{3}$$
E. 12

Attachment:

2015-12-27_2141.png [ 9.56 KiB | Viewed 1540 times ]

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 6791
What is the area of the triangle in the figure above?  [#permalink]

### Show Tags

29 Dec 2015, 00:47
3
2
Bunuel wrote:

What is the area of the triangle in the figure above?

A. $$2+2\sqrt{3}$$
B. $$4\sqrt{3}$$
C. 8
D. $$8\sqrt{3}$$
E. 12

Attachment:
The attachment 2015-12-27_2141.png is no longer available

Hi,
the Q may be 700+, since you require to know to play around with Geometrical figures..
the best way is to look how we can draw a 90 degree angle , which will help us to break the figure down to simpler terms
here we see the third angle C shouold be 45, so we draw a perpendicular from B to AC..
now we have two triangles ABD and BCD..
lets see the first triangle BCD..
angle BCD and CBD are 45 and CDB is 90...
$$Hyp = BC= 2\sqrt{2}$$...
so the sides BD and CD=2..
area of BCD=1/2 * 2*2=2...

lets see the second triangle ABD..
it is 30-60-90 triangle...
and therefore the sides BD:AD:AB are in ratio $$1:\sqrt{3}:2$$..
BD is 2, so AD = $$2\sqrt{3}$$..
so $$area = 1/2 * 2\sqrt{3}*2=2\sqrt{3}$$..

$$total Area=2+ 2\sqrt{3}$$
ans A
Attachments

ANGLES.png [ 24.18 KiB | Viewed 1401 times ]

_________________

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

##### General Discussion
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12422
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: What is the area of the triangle in the figure above?  [#permalink]

### Show Tags

01 Jan 2016, 12:11
2
Hi All,

Since the GMAT is built around existing patterns/rules/logic, the Geometry questions that you face on Test Day will almost always be based on standard shapes and formulas that you already know (or should know). Any time a question involves a shape that is 'weird', that shape can almost always be broken-down into smaller standard shapes - you can then use your knowledge of those shapes to answer the given question (although the math involved might be 'step-heavy').

Here, the weird shape is a 30/45/105 triangle. As chetan2u pointed out in his explanation, this triangle can be split into a 30/60/90 and a 45/45/90. From there, you can use the given side length, along with the rules for those 2 right triangles, to figure out ALL of the other side lengths and the total area of the shape.

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Non-Human User
Joined: 09 Sep 2013
Posts: 8123
Re: What is the area of the triangle in the figure above?  [#permalink]

### Show Tags

23 Apr 2017, 03:42
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.
_________________
Re: What is the area of the triangle in the figure above? &nbs [#permalink] 23 Apr 2017, 03:42
Display posts from previous: Sort by

# Events & Promotions

 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®.