The area of a regular hexagon is 14.96 cm2. What is the perimeter of the hexagon? A. 1.2 space c m B. 1.2 square root of 3 space
c m C. 2.5 space c m D. 14.4 space c m
2 answers:
Answer:
14.4 cm
Step-by-step explanation:
The formula for the area of a regular hexagon in terms of its side length s is ...
... A = (3√3)/2·s²
Then the side length is ...
... s = √(2A/(3√3))
and the perimeter is ...
... P = 6s = √(8A√3)
For your area, this is ...
... P = √(8·14.96·√3) ≈ √207.292 ≈ 14.4 . . . . cm
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