Question

10. A regular bexagon has a perimeter of 120 m. Find its area. Leave your answer in simplest radical form.

Answer 1

Area = 1039.23 m^2

Explanation:

Answer 2

Answer: Area =
`600√(3)`
`m^(2)`

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 =
`(3√(3))/(2)`
`a^(2)`

Area =
`(3√(3))/(2)`
`(20)^(2)`

Area =
`(3√(3))/(2)` x 400

Area =
`3√(3)` x 200

Area =
`600√(3)`
`m^(2)`