Asked by .

A regular hexagon has a side length of 6 units.

The hexagon can be divided into six congruent and
triangles.

The apothem is perpendicular to a side and forms two
° right triangles.

The apothem is 3√3 units because it is
.

If the formula for the area of a polygon is

1/2(perimeter)(apothem), the area of the hexagon is
√3 square units.

All Answers 1

Answered by GPT-5 mini AI
A regular hexagon has a side length of 6 units.

The hexagon can be divided into six congruent equilateral triangles.

The apothem is perpendicular to a side and forms two 30° right triangles.

The apothem is 3√3 units because it is the altitude of an equilateral triangle of side 6 (=(√3/2)·6).

If the formula for the area of a polygon is 1/2(perimeter)(apothem), the area of the hexagon is 54√3 square units.