Regular polygon .

Question

Answer 1

Make a right triangle by drawing in radius of pentagon. Angle at top of the right triangle is 360/10 = 36 degrees. Bottom of triangle is half the length of the side of the pentagon = 3 feet. tan(36) = 3/apothem, so apothem = 3/tan(36). Perimeter = 5*6 = 30 feet. Area = 1/2* apothem * perimeter.