amorphous wrote:

given figure is that of a regular hexagon. what is the area of the hexagon? Give your answer without the units

Notice that we can divide a regular hexagon into

6 identical equilateral trianglesSo, area of hexagon = 6(area of 1 equilateral triangle)

Useful formula:

Area of equilateral triangle = (side²)(√3)/4Since each side has length

8, we can write: Area of one equilateral triangle = (

8²)(√3)/4

= (64)(√3)/4

= 16√3

So, area of hexagon = 6(area of 1 equilateral triangle)

= area of hexagon = 6(16√3)

= 96√3

Answer: 96√3

Cheers,

Brent

_________________

Brent Hanneson – Creator of greenlighttestprep.com

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