Answer:
D 1,078.5 ft^2
Step-by-step explanation:
You want the area of a figure composed of a rectangle 100 ft long and 10 ft wide with semicircles of diameter 10 ft at each end.
Rectangle Area
The area of the rectangle is ...
A = LW
A = (100 ft)(10 ft) = 1000 ft²
Circle Area
The two half-circles have the area of a whole circle with radius 5 ft.
A = πr²
A = π(5 ft)² = 25π ft² ≈ 78.5 ft²
Total Area
The area of the figure is the sum of the areas of its parts:
total area = rectangle area + circle area
total area = 1000 ft² +78.5 ft² = 1078.5 ft²
The total area of the figure is about 1078.5 ft².
