Answer:
189.3 in.²
Explanation:
The shape consists of a half circle and a rectangle. Therefore,
Area of the shape = area of the half-circle + area of the rectangle
= ½(πr²) + L*W
r = radius of the half-circle = ½(10) = 5 in.
L = length of the rectangle = 15 in.
W = width of the rectangle = 10 in.
Plug in the values
Area of the shape = ½(π*5²) + 15*10
Area of the shape = 39.27 + 150
= 189.27 ≈ 189.3 in.² (Nearest tenth)