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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## What is the area of a regular hexagon with side-length 2? tagged by: Max@Math Revolution ##### This topic has 1 expert reply and 1 member reply ### GMAT/MBA Expert ## What is the area of a regular hexagon with side-length 2? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult [Math Revolution GMAT math practice question] What is the area of a regular hexagon with side-length 2? A. β2. B. β3. C. 2β2. D. 2β3 E. 6β3 _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only Worldβs First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
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Newbie | Next Rank: 10 Posts
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Hi,

Hexagon is a six-sided polygon.

Regular polygon means all sides and all angles are equal.

So regular hexagon is a 6-sided polygon with all sides and all angles are equal.

There are six equilaterals triangles with side length as β2β.

Area of an equilateral triangle = (β3/4)*(side)^2
= (β3/4)*(2)^2 = (β3)

So, area of six equilaterals triangles = 6β3

Hope this helps.

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The area of an equilateral triangle with side-length a is (β3/4)a^2. So, the area of an equilateral triangle with side-length 2 is (β3/4)2^2 = (β3/4)4 = β3. Thus, the area of a regular hexagon with side-length 2 is 6β3.

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