Respuesta :
Answer:
The area of the grass = 2187 square ft
Step-by-step explanation:
∵ The dimension of the yard are 80 ft. and 45 ft.
∴ The area of the rectangle = 80 × 45 = 3600 square ft.
∵ The diameter of the pool is 60 ft.
∴ The area of the semi circle = [tex]\frac{1}{2}\pi(30)^{2}=1413[/tex] square ft.
∴ The area of the grass = 3600 - 1413 = 2187 square ft
Answer:
Rectangle = 3600 ft^2
Semicircle = 1413.72 ft^2
Grass = 2186.28 ft
Step-by-step explanation:
The area of the rectangle is
A = l*w where l = 45 and w = 80
A = 45*80
3600 ft^2
We then need to find the area of a circle
A = pi r^2
The radius is 1/2 d
r = 1/2 (60)
r = 30
The area of a circle is pi r^2, but we only have 1/2 of the cirlce so we take 1/2 of the area
1/2A = 1/2 pi (30)^2
= 1/2 pi *900
450 pi
=1413.72 ft^2
The difference is the area we have to cover
rectangle - semicircle
3600 ft^2 - 1413.72
2186.28 ft