Question

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Answer 1

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 = $\frac{1}{2}\pi(30)^{2}=1413$ square ft.

∴ The area of the grass = 3600 - 1413 = 2187 square ft

Answer 2

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