ABCDEF is a regular hexagon. If the perimeter=12, find the area of ABCDEF

a-6 radical 3
b-12 radical 3
c-12
d-24
e-36

Question

ABCDEF is a regular hexagon. If the perimeter=12, find the area of ABCDEF

a-6 radical 3
b-12 radical 3
c-12
d-24
e-36

mertsj · Answer

Divide the hexagon into 6 equilateral triangles.  Find the area of one triangle and multiply by 6.

anonymous · Answer

But how can you find the area of a triangle if there is no height?

directrix · Answer

In your class, are you using the Area = 1/2 * apothem * perimeter formula? 

@jibber1234

anonymous · Answer

um...no..

directrix · Answer

@jibber1234   Do you know how to find the area of a triangle?

anonymous · Answer

yeh. bh/2

directrix · Answer

Look at this attached diagram.

directrix · Answer

The perimeter of the regular hexagon is 12 so each side is 2. A hexagon is equiangular and equilateral.

anonymous · Answer

Oh..but how do you find the height?

directrix · Answer

Look at one of the 6 triangles.


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