Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 18 Jul 2019, 11:04

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

Which of the following could be the area of a regular hexagon in which

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

Hide Tags

Find Similar Topics 
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 7603
GMAT 1: 760 Q51 V42
GPA: 3.82
Which of the following could be the area of a regular hexagon in which  [#permalink]

Show Tags

New post 02 Jan 2019, 01:47
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (01:36) correct 29% (01:38) wrong based on 44 sessions

HideShow timer Statistics


[Math Revolution GMAT math practice question]

Which of the following could be the area of a regular hexagon in which the length of the equal sides is an integer?

\(A. \frac{√3}{6}\)
\(B. \frac{√3}{5}\)
\(C. \frac{√3}{4}\)
\(D. 6√3\)
\(E. \frac{3√3}{4}\)

_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
General GMAT Forum Moderator
User avatar
V
Joined: 15 Jan 2018
Posts: 424
Concentration: General Management, Finance
GMAT 1: 720 Q50 V37
Premium Member Reviews Badge
Re: Which of the following could be the area of a regular hexagon in which  [#permalink]

Show Tags

New post 02 Jan 2019, 01:59
1
Important Note: A regular hexagon has 6 equal equilateral triangles.

We know the area of an equilateral triangles (√3/4)xa^2, where a is the length of the side
Hence, Area of regular hexagon = 6x (√3/4)xa^2 = (3√3)/2 a^2
For a = 2, the above equation becomes 6√3.

Hence, the Correct Answer is Option D.6√3

_________________
New to GMAT Club or overwhelmed with so many resources? Follow the GMAT Club Study Plan!
Not happy with your GMAT score? Retaking GMAT Strategies!

Game of Timers - Join the Competition to Win Prizes
Image
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 4242
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: Which of the following could be the area of a regular hexagon in which  [#permalink]

Show Tags

New post 02 Jan 2019, 17:18
MathRevolution wrote:
[Math Revolution GMAT math practice question]

Which of the following could be the area of a regular hexagon in which the length of the equal sides is an integer?

\(A. \frac{√3}{6}\)
\(B. \frac{√3}{5}\)
\(C. \frac{√3}{4}\)
\(D. 6√3\)
\(E. \frac{3√3}{4}\)



for a hexagon of equal sides the area can be calculated using formula
sqrt3 * x^2/2
this has ben derieved from equilateral triangle formula (sqrt3*x^2/4) * 6

since given that x is an integer so only at x=2 we get option D 6 sqrt3 IMOD
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 7603
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: Which of the following could be the area of a regular hexagon in which  [#permalink]

Show Tags

New post 04 Jan 2019, 01:18
Attachment:
1.4.png
1.4.png [ 11.63 KiB | Viewed 253 times ]


=>

Let \(n\) be the side-length of a regular hexagon. Then the area of the shaded equilateral triangle is \((\frac{√3}{4})n^2\) and the area of the regular hexagon is \((\frac{6√3}{4})n^2 = (\frac{3√3}{2})n^2\) .

If \(n = 2\), then \((\frac{3√3}{2})n^2 = (\frac{3√3}{2})2^2 =6√3\). None of the other values are possible for integer values of \(n\).

Therefore, the answer is D.
Answer: D
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
GMAT Club Bot
Re: Which of the following could be the area of a regular hexagon in which   [#permalink] 04 Jan 2019, 01:18
Display posts from previous: Sort by

Which of the following could be the area of a regular hexagon in which

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





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