Question

find the area of polygon

Answer 1

Plug the values of a and p in the formula and get the area. As an example, let's use a hexagon (6 sides) with a side (s) length of 10.The perimeter is 6 x 10 (n x s), equal to 60 (so p = 60).The apothem is calculated by its own formula, by plugging in 6 and 10 for nand s. The result of 2tan(180/6) is 1.1547, and then 10 divided by 1.1547 is equal to 8.66.The area of the polygon is Area = a x p/ 2, or 8.66 multiplied by 60 divided by 2. The solution is an area of 259.8 units.Note as well, there are no parenthesis in the "Area" equation, so 8.66 divided by 2 multiplied by 60, will give you the same result, just as 60 divided by 2 multiplied by 8.66 will give you the same result.

Answer 2

1/2(apothem)(perimeter)