What is the area of a regular hexagon with a perimeter of 12 and apothem (Square root of) 3 cm?
A.) 36cm
B.) 6 (square root of) 3 cm
C.) (Square root of) 3 cm
D.) 12 (Square root of) 3 cm

Question

What is the area of a regular hexagon with a perimeter of 12 and apothem (Square root of) 3 cm?
A.) 36cm
B.) 6 (square root of) 3 cm
C.) (Square root of) 3 cm
D.) 12 (Square root of) 3 cm

tkhunny · Answer

1) Do not post problems with no work shown.
2) Draw one and figure it out.

alexandervonhumboldt2 · Answer

first of all you need to find the side.

bubblegum. · Answer

The code of conduct does not say that we have to post our work along with the question!

shalayla4 · Answer

Yea^

bubblegum. · Answer

$\Huge\ddot\smile$

alexandervonhumboldt2 · Answer

lets go back to the question

shalayla4 · Answer

Thank you :) Alex

alexandervonhumboldt2 · Answer

first of all we need to find the side

alexandervonhumboldt2 · Answer

hexagon has 6 sides

shalayla4 · Answer

Okay, how do I do that?

alexandervonhumboldt2 · Answer

to find the side we divide the perimeter by the number of sides

shalayla4 · Answer

Oh okay so the side is 2?

alexandervonhumboldt2 · Answer

yes

now the formula for the area of hexagon is $$A=\frac{ 3\sqrt3 }{ 2 }*a^2$$
where a is a side

alexandervonhumboldt2 · Answer

substitute 2 and solve

tkhunny · Answer

Just draw one triangular piece and multiply by 6.|dw:1450118443658:dw|

shalayla4 · Answer

Substitute 2 for a ?

alexandervonhumboldt2 · Answer

yeah

shalayla4 · Answer

So my answer would be 6 sqrt (3) ?

tkhunny · Answer

Did you get the same result using both methods?  Use Ale's formula for the whole thing.  Use my hint to verify.

shalayla4 · Answer

What formula is that?

tkhunny · Answer

The one provided by Alex?

Where did you get $6\sqrt{3}$?

shalayla4 · Answer

I did indeed, I got it by using his method. And it was correct. Thank you so much Alex!!!