Answer:
Parameter of given regular hexagon = 22.32 mi (Approx.)
Step-by-step explanation:
Given:
Area of given regular hexagon = 36 mi²
Find:
Parameter of given regular hexagon
Computation:
Area of regular hexagon = [(3√3)/2]a²
[(3√3)/2]a² = 36
a² = [36 x 2] / 3√3
a² = [12 x 2] / √3
a² = 24 / √3
a² = 8√3
a² = 8 x 1.732
a² = 13.856
Side a = 3.72 mi (Approx.)
Parameter of given regular hexagon = 6 x Side
Parameter of given regular hexagon = 6 x 3.72
Parameter of given regular hexagon = 22.32 mi (Approx.)
