Q:

How to find the area of a polygon

Accepted Solution

A:
Answer:Area = [tex]\frac{1}{2}*p*a[/tex]Step-by-step explanation:The area of any Polygon can be calculated using the area formula which is the following:Area = [tex]\frac{1}{2}*p*a[/tex]In which p is the perimeter which is the sum of all the sides of the polygon. While a is the apothem which is the distance from the midpoint of the polygon to the middle of any side.Example: let's say a 6 sided polygon has all sides of length 2 inches and an apothem of 3 inches, Then we can plug it into the the formula and solve for the area.Area = [tex]\frac{1}{2}*6(2in)*3in[/tex]Area = [tex]\frac{1}{2}*12in*3in[/tex]Area = [tex]\frac{1}{2}*36[tex]in^{2}[/tex][/tex]Area = 18[tex]in^{2}[/tex]Finally we can see that the area for this example is 18[tex]in^{2}[/tex]