Answer: Area = 61.5 cm²
Explanation:
Since the Pentagon is regular, then all its sides are equal. The perimeter of the Pentagon is the sum of its sides.
Perimeter = 5 × 6 = 30 cm
The formula for determining the area of a polygon is expressed as
Area = apotherm × perimeter/2
The apotherm us the perpendicular line from the midpoint of the Pentagon.
Apotherm = 4.1 cm
Therefore,
Area = 4.1 × 30/2 = 61.5 cm² to the nearest tenth