Respuesta :

mumsy
The area of a hexagon is 
A= a^2 (3√3)/2
we replace a with 4
A=41.57

The area of a regular hexagon with a side of 4m is 24√3.

Side of the regular hexagon = 4m

What is a regular hexagon?

A Regular hexagon is a polygon with 6 equal sides.

We know that a regular hexagon with a side p comprises 6 equilateral triangles with a side p.

So, the area of a regular hexagon with side p= area of 6 equilateral triangles with side p.

So, the area of a regular hexagon with side p = [tex]6*\frac{\sqrt{3} }{4} p^{2}[/tex]

The area of a regular hexagon with a side of 4m = [tex]6*\frac{\sqrt{3} }{4} 4^{2}[/tex]

The area of a regular hexagon with a side of 4m =24√3.

Therefore, The area of a regular hexagon with a side of 4m is 24√3.

To get more about regular hexagon visit:

https://brainly.com/question/10209400