Answer:

Explanation:
we know that
A regular hexagon can be divided into six equilateral triangles
so
The area of a regular hexagon is the same that the area of six congruent equilateral triangles
The area of one equilateral triangle in the regular hexagon is equal to

where
b is the base of triangle (the length of the regular hexagon)
h is the height of triangle (the apothem of the regular hexagon)
so

substitute

Multiply the area of one triangle by 6 to obtain the area of the regular hexagon
