Answer: Area = [tex]600\sqrt{3}[/tex] [tex]m^{2}[/tex]
Step-by-step explanation:
The formula for calculating the perimeter of a regular hexagon is given by:
P = 6a
where a is the length of a side . That is
120 = 6a
Divide through by 6
120/6 = a
Therefore :
a = 20 m
The formula for finding area of regular hexagon is given as :
Area = [tex]\frac{3\sqrt{3}}{2}[/tex][tex]a^{2}[/tex]
Area = [tex]\frac{3\sqrt{3}}{2}[/tex][tex](20)^{2}[/tex]
Area = [tex]\frac{3\sqrt{3}}{2}[/tex] x 400
Area = [tex]3\sqrt{3}[/tex] x 200
Area = [tex]600\sqrt{3}[/tex] [tex]m^{2}[/tex]
