What is the area of the regular pentagon below it is 20 ft (1 point) Responses 688.2 ft² 688.2 ft² 850.7 ft² 850.7 ft² 951.1 ft² 951.1 ft² 1,376.4 ft²
The area of a regular pentagon can be calculated using the formula:
Area = 1/4 * sqrt(5*(5+2*sqrt(5))) * s^2
where s is the side length of the pentagon.
Given that the side length of the pentagon is 20 ft, we can plug this value into the formula:
Area = 1/4 * sqrt(5*(5+2*sqrt(5))) * 20^2
Area = 1/4 * sqrt(5*(5+2*sqrt(5))) * 400
Area ≈ 688.2 ft²
Therefore, the correct answer is 688.2 ft².