Notice that we can divide a regular hexagon into 6 identical equilateral triangles


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

Useful formula: Area of equilateral triangle = (side²)(√3)/4

Since 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
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Here we know

Area of Hexagon = \([3\sqrt{3} * (side)^2]\)\(/2\)

since side = 8

Therefore putting the value in the equation we get= \([3\sqrt{3} * (8)^2]\)\(/2\)
= \(96\sqrt{3}\)
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