SAT Math

Category - Geometry and Measurement

What is the area of aregular hexagon whose perimeter is 12?
  1. √3/2
  2. √3
  3. 6√3
  4. 12
  5. 16
Explanation
Answer: C - The area of aregular hexagon whose perimeter is 12 is 6√3. Use theformula 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 (a^2 √3)/4.
A=6 (2^2 √3)/4=6√3
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