Question

Calculate the area of the regular hexagon ABCDEF.

A. 150 u^2
B. 259.8 u^2
C. 300 u^2
D. 519 u^2

Answer 1

B. 259.8 u²

Explanation:

The area of a regular hexagon is given as:

`Area = (3√(3) )/(2) a^(2)`

Where a = side length of the hexagon

Thus, the area of the regular hexagon with a given side length, a = 10, is calculated as follows:

`Area = (3√(3) )/(2) a^(2)`

`Area = (3√(3) )/(2)* 10^(2)`

`= (3√(3) )/(2)* 100`

`= (3*1.7321 )/(2)* 100`

`= (5.1963 )/(2)* 100`

`= (519.63 )/(2)`

`Area = 259.815`

The area of the regular hexagon ≈ 259.8 u²