Answer:
38.042 square units
Explanation:
Steps to find the area of a regular polygon with 20 sides and a side length of 2
Find the apothem
apothem = s / (2 * tan(pi/n))
apothem = 2 / (2 * tan(pi/20))
apothem ≈ 1.9021
Calculate the perimeter
perimeter = n * s
perimeter = 20 * 2
perimeter = 40
Calculate the area
area = (1/2) * apothem * perimeter
area = (1/2) * 1.9021 * 40
area ≈ 38.042 square units
Therefore, the area of the regular polygon with 20 sides and a side length of 2 is approximately 38.042 square units.