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

It is currently 21 Oct 2018, 07:35

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

If each of the line segments in the figure above has a length equal to

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

Hide Tags

Manager
Manager
avatar
S
Joined: 23 Sep 2016
Posts: 220
Premium Member Reviews Badge
If each of the line segments in the figure above has a length equal to  [#permalink]

Show Tags

New post 14 Mar 2018, 00:54
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

86% (02:35) correct 14% (02:02) wrong based on 21 sessions

HideShow timer Statistics

Image
If each of the line segments in the figure above has a length equal to 4, and the angle a,b and c are each 60 degrees, what is the total area of the shaded figure?

A. 16
B. \(8\sqrt{3}\)
C. \(24\sqrt{2}\)
D. 36
E. \(24\sqrt{3}\)

Source :- globalexperts

Attachment:
Screenshot (72).png
Screenshot (72).png [ 6.28 KiB | Viewed 524 times ]
Manager
Manager
avatar
S
Joined: 23 Sep 2016
Posts: 220
Premium Member Reviews Badge
If each of the line segments in the figure above has a length equal to  [#permalink]

Show Tags

New post 14 Mar 2018, 01:10
rishabhmishra wrote:
Image
If each of the line segments in the figure above has a length equal to 4, and the angle a,b and c are each 60 degrees, what is the total area of the shaded figure?

A. 16
B. \(8\sqrt{3}\)
C. \(24\sqrt{2}\)
D. 36
E. \(24\sqrt{3}\)

Source :- globalexperts

Attachment:
The attachment Screenshot (72).png is no longer available

If you look at the attached photo we divide the figure into triangles
SO if each side is 4 and a,b and c=60
then take one triangle lets take c triangle
2 sides are equal and one is 60 then 2 sides is also 60 as if we take both side as x then 2x+60=180
and that means 3rd side is also equal to 4
now we can say these things will true in all triangles and each triangle is equilateral triangle
so area of equilateral triangle is \(\sqrt{3}side^2/4\) (root3*sidesquare/ 4)
so\(\sqrt{3}*4^2*6(total triangles in the figure)/4\)
answer is
\(24\sqrt{3}\)
Attachments

InkedScreenshot (72)_LI.jpg
InkedScreenshot (72)_LI.jpg [ 806.94 KiB | Viewed 373 times ]

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6973
If each of the line segments in the figure above has a length equal to  [#permalink]

Show Tags

New post 14 Mar 2018, 02:13
1
rishabhmishra wrote:
Image
If each of the line segments in the figure above has a length equal to 4, and the angle a,b and c are each 60 degrees, what is the total area of the shaded figure?

A. 16
B. \(8\sqrt{3}\)
C. \(24\sqrt{2}\)
D. 36
E. \(24\sqrt{3}\)

Source :- globalexperts

Attachment:
The attachment Screenshot (72).png is no longer available



Hi...
All three figures are parallelogram with side 4..
Just take one of them..
Draw a PERPENDICULAR from a point to get height of this llgm.
We get a 30-60-90 triangle where hypotenuse is 4..
So side opposite 60 will be \(\frac{√3*4}{2}=2√3\)
Area of that llgm =\(4*2√3=8√3\)

Area of all three llgms = \(3*8√3=24√3\)

E
Attachments

gc1.png
gc1.png [ 8.3 KiB | Viewed 317 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

GMAT Club Bot
If each of the line segments in the figure above has a length equal to &nbs [#permalink] 14 Mar 2018, 02:13
Display posts from previous: Sort by

If each of the line segments in the figure above has a length equal to

  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®.