Answer:
A ≈ 463 ft²
Step-by-step explanation:
The figure is composed of a rectangle and a semicircle
Find the area of each and sum them.
The area (A) of a rectangle is calculated as
• A = length × width
here length = 25 ft and width = 15 ft , then
A = 25 × 15 = 375 ft²
The area (A) of a semicircle is half the area of a circle , that is
• A = [tex]\frac{1}{2}[/tex] πr² ( r is the radius )
given the diameter = 15 ft, then r = 15 ÷ 2 = 7.5 ft
and using π ≈ 3.14 , then
A ≈ 0.5 × 3.14 × 7.5²
≈ 0.5 × 3.14 × 56.25
≈ 88.3125 ft²
Then
total area ≈ 375 + 88.3125 ≈ 463.3125 ≈ 463 ft² ( to nearest whole number )
