Question

Farmer Brown needs to fertilize his hay pasture before spring arrives. He knows that the perimeter of his pasture is 1000 feet and that the width is 200 feet. If one bag of fertilizer will cover 5000 square feet, how many bags of fertilizer does Farmer Brown need to buy? Show your work.

Answer 1

12 bags

Explanation:

The perimeter of his field is 1000 ft. The formula for perimeter is

P = 2L+2w

The width is 200; this gives us

1000 = 2L+2(200)

1000 = 2L+400

Subtract 400 from each side:

1000-400 = 2L+400-400

600 = 2L

Divide both sides by 2:

600/2 = 2L/2

300 = L

This gives us the dimensions 200 by 300. The area is found by multiplying the width and length; this gives us

A = 200(300) = 60,000 ft²

Each bag covers 5000 square feet; this means the farmer needs

60000/5000 = 12 bags

Answer 2

Answer: 40 bags

Explanation:

Given: The dimension of farmers pasture is 1000 feet by 200 feet.

The area of pasture=
`1000\ feet*200\ feet=200,000\ feet^2`

Since, area covered by 1 bag of fertilizer= 5000 square feet

Therefore, the amount of fertilizer required for 1 square feet of area=
`(1)/(5000)\ of\ bag`

The amount of fertilizer required for 5000 square feet of area=
`200,000*(1)/(5000)`

Therefore, the amount of fertilizer required for 5000 square feet of area= 40 bags