12. A circular garden is 20 feet wide at its widest point. If each bag of
mulch can cover 50 square feet and each bag costs $4.95. how much will it
cost to mulch the entire garden? The store only sells whole bags.

Respuesta :

Answer: $34.65

Step-by-step explanation:

Hi, to answer this question we have to calculate the area of the circular garden

Area of a circle = π r^2

We have the diameter = 20 ft

Diameter = 2radius

Replacing with the value given

20 = 2r

20/2 = r

r = 10 feet

Back with the area formula

A = π r^2

A= π 10^2

A = 314.16 ft2

Since each bag if mulch can cover 50 ft2, we have to divide the area of the garden by the amount of square feet that each bag can cover, to obtain the number of bags

314.16 /50 = 6.28 bags = 7 bags (since the store only sells whole bags)

Finally we have to multiply the price of each bag by the number of bags needed.

7x 4.95 =$34.65