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

Answer 1

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

Answer 2

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

Answer 3

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

@jibber1234

Answer 4

um...no..

Answer 5

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

Answer 6

yeh. bh/2

Answer 7

Look at this attached diagram.

Answer 8

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

Answer 9

Oh..but how do you find the height?

Answer 10

Look at one of the 6 triangles.