Answer: Area of the polygon is 58.1
Step-by-step explanation:
The given polygon is a pentagon. The apotherm is the perpendicular line from the midpoint of the octagon 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 = 4
Therefore,
Area = 4² × 5 × tan(180/5)
Area = 80 × tan 36
Area = 58.1
