Answer:
Area = 2127.1 cm^2 (to the tenth)
Explanation:
We may be missing the length of a side at the top of the picture.
However, we are given "a", so the sides of a regular hexagon can be calculated.
The side of a regular hexagon given "a" is
s = 2a/sqrt(3) = 28.61
Perimeter of hexagon
= 6s
Area of hexagon
= a*perimeter/2
= a*6s/2
= 3as
= 3a*2a/sqrt(3)
=2sqrt(3)a^2
= 2*sqrt(3)*24.78^2
= 2127.1 cm^2 (to the tenth)