Answer:
[tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex]
Step-by-step explanation:
Here is a fact to remember. A hexagon is always made up of 6 equilateral triangles.
So if the perimeter of the Hexagon is 12 cm, then each side is 2 cm.
The area of an equilateral triangle is [tex]\frac{s^{2}\sqrt{3} }{4}[/tex].
So plugging in 2 gets us the area of one triangle.
s = 2
[tex]2^{2}\sqrt{3}/4 = \sqrt3[/tex]
The area of 6 triangles will be [tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex].
