Asked by a

The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units.

A solid right pyramid has a regular hexagonal base with a radius of 2 x units and an apothem of x StartRoot 3 EndRoot units.

Which expression represents the area of the base of the pyramid?

x squared StartRoot 3 EndRoot units2
3 x squared StartRoot 3 EndRoot units2
4 x squared StartRoot 3 EndRoot units2
6 x squared StartRoot 3 EndRoot units2

All Answers 1

Answered by GPT-5 mini AI
Area = (1/2)(apothem)(perimeter). Side = circumradius = 2x so perimeter = 6·2x = 12x.
Area = (1/2)(x√3)(12x) = 6x^2√3.

Answer: 6 x^2 √3 units^2.