Answer:
55.43cm^2
Step-by-step explanation:
Area of a hexagon given the apothem = 1/2 x perimeter x apothem
apothem = 4cm
To find the perimeter, take the following steps
4 = x√3
x = 4/√3
Multiply by 2
8√3
Since a hexagon has 6 equal sides, multiply by 6
Perimeter = 48√3
Area = (1/2) x 48√3 x 4 = 55.43cm^2
