Answer: perimeter = 26.5
Area = 106
Explanation:
The given polygon is an octagon. The apotherm which is the perpendicular line from the midpoint of the octagon is 8,
The formula for determining the area of a polygon is expressed as
Area = a² × n × tan 180/n
Where n represents the number of sides of the polygon.
n = 8
Therefore,
Area = 8² × 4 × tan(180/8)
Area = 256 × tan 22.5
Area = 106
The formula for determining the perimeter of a regular polygon is
P = 2 × area/apotherm
Perimeter = 2 × 106/8
Perimeter = 26.5