Answer: Perimeter = 72.67
Area = 363.3
Step-by-step explanation:
The given polygon is a pentagon. The apotherm is the perpendicular line from the midpoint of the Pentagon to the base of one of its sides.
The formula for determining the area of a regular polygon is expressed as
Area = a² × n × tan 180/n
Where n represents the number of sides of the polygon.
n = 5
Apotherm = 10
Therefore,
Area = 10² × 5 × tan(180/5)
Area = 500 × tan 36
Area = 363.3
The formula for determining the perimeter of a regular polygon is
P = 2 × area/apotherm
Perimeter = 2 × 363.3/10
Perimeter = 72.67
