Answer:
Area = 324.29ft²
Perimeter = 74.05ft
Area
Areas of individual shapes:
Triangle ABF Area = (9.3 x 4.2) / 2 = 19.53ft²
Triangle CDE Area = (9.3 x 4.2) / 2 = 19.53ft²
Rectangle FECB Area = 153.72ft²
Semi-Circle BC Area = πr² = π x (18.3/2)² = π x 83.7225 = 263.02... / 2 = 131.51ft²
Total area of compound shape:
19.53ft² + 19.53ft² + 153.72ft² + 131.51ft² = 324.29ft²
Perimeter
Perimeter of Semi-Circle:
π x d = π x 18.3 = 57.49... / 2 = 28.75ft
Total perimeter of compound shape:
18.3ft + 9.3ft + 9.3ft + 4.2ft + 4.2ft + 28.75ft = 74.05ft