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SAT Prep

Category - Math

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What is the area of a regular hexagon whose perimeter is 12?

√3/2
√3
6√3
12
16

Explanation

Answer: C - The area of a regular hexagon whose perimeter is 12 is 6√3. Use the formula for perimeter of hexagon P=6ato find the side of the hexagon.

P=6a
12=6a
a=2

A regular hexagon consists of six equilateral triangles. The area of a regular hexagon is A=6 (a² √3)/4.
A=6 (2² √3)/4=6√3

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