Question 759523
If a equilateral triangle has a perimeter of
36 then it has 3 sides of 12ins each.
area of a triangle = 1/2(b*h)
The height will be found by creating a
line from the mid point of one of the
equilateral's sides up to the opposite
vertex of the triangle.
A right angled triangle is formed with
a side of 6ins. (1/2 base) and a hypotenuse
of 12ins.
12^2 - 6^2 = height^2
144 - 36   = height^2
      height = square root of 108 
      height = 10.4ins.
Area of equilateral = 1/2(6*10.4)
                    = 31.2 ins^2
Area of regular hexagon = 3 root3/2 * x^2 (x = side)
               31.2     = 3 root 3/2 * x^2
              31.2/2.598 = x^2
                       12 = x^2
                        x = root 12
                        x = 3.5ins.
Hope this helps.
:-)