The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.

Question

ghazi · Answer

perimeter of equilateral triangle= 3* side

ghazi · Answer

3*L=36 find L

cwrw238 · Answer

area of the triangle =  1/2 * 12 * sqrt(12^2 - 6^2)
area of regular hexagon = 3*sqrt3  * s^2
                                          ------
                                                2

where s = length of the side

equate these and solve for s

cwrw238 · Answer

simplify this is
2.59808 s^2 = 6*sqrt108

s^2 = 6* sqrt108
           --------
              2.59808

ghazi · Answer

@Vincent12 where are you?

cwrw238 · Answer

- its logged off by the look of it - sometimes this happens i'm afraid

ghazi · Answer

you made formula of hexagon look so horrible ....he went away

cwrw238 · Answer

lol

ghazi · Answer

by the way wouldn't it be easier ...if i find length of the side by perimeter and directly put that in to the area of hexagon....like by finding L =12 from above realtion?

ghazi · Answer

*relation?

cwrw238 · Answer

do you mean  side of hexagon = 36 / 6 = 6?

ghazi · Answer

nope after findin the length of equilateral triangle ...find the area of triangle and equate that area to the area of hexagon

ghazi · Answer

and then find the side of hexagon

cwrw238 · Answer

yes - thats what i've done

ghazi · Answer

OMG!! i didn't get it either... that is really frantic

cwrw238 · Answer

- don't get frantic - keep  calm !!

ghazi · Answer

okay :)

cwrw238 · Answer

to be honest i skipped a few steps when working out area of the triangle

ghazi · Answer

that's why it is scary...well we should leave it here....your student will come and strive to find the solution :)

cwrw238 · Answer

ok