Answer:

Explanation:
Perimeter of equilateral triangle = 36 inches
Formula of perimeter of equilateral triangle =

⇒

⇒

⇒

Thus each side of equilateral triangle is 12 inches
Formula of area of equilateral triangle =

Where a is the side .
So, area of the given equilateral triangle =

=

Since hexagon can be divided into six small equilateral triangle .
So, area of each small equilateral triangle =

=

So, The area of small equilateral triangle :

Where a is the side of hexagon .





Hence the length of a side of the regular hexagon is
