Answer:
86.28 ft²
Explanation:
The figure given consists of a rectangle and a semicircle. The area of the figure = area of rectangle + area of semicircle
Area of rectangle =
Where,
l = 10 ft
w = 8 ft
Area of semicircle:
Area of semicircle = ½ of area of a circle = ½(πr²)
Where,
π = 3.14
r = ½ of 8 = 4 ft
Area of semi-circle = ½(3.14*4) = 6.28 ft²
Area of the figure = area of rectangle + area of semi-circle = 80 + 6.28 = 86.28 ft² (nearest hundredth)