Answer:
Hence, the area of polygon is:
259.8 inches^2.
Step-by-step explanation:
We know that a regular hexagon is a polygon consisting of six equal sides.
Let 'a' be the side length of the hexagon.
We are given perimeter of hexagon=60 in.
This implies.
Perimeter=6a
⇒ 60 =6×a
⇒ a=60/6
⇒ a=10 inches.
Now we know that the area(A) of regular hexagon with side 'a' is given by:
[tex]A=\dfrac{3\sqrt{3}}{2}\times a^2[/tex]
Now, on putting the value of a we get.
[tex]A=\dfrac{3\sqrt{3}}{2}\times (10)^2\\\\A=259.8 \ inches^2[/tex]
Hence, the area of polygon is:
259.8 inches^2.
