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.

since 1000 = 2*500 = 2(200+300), the length is 300

so the area is 200*300 = 60,000 ft^2
now it should be clear how many bags are needed.

thanks u

To find out how many bags of fertilizer Farmer Brown needs to buy, we first need to calculate the area of the hay pasture.

The width of the hay pasture is given as 200 feet. Since the perimeter is given as 1000 feet, we can calculate the length of the pasture by subtracting twice the width from the perimeter.

Length = Perimeter - 2 * Width
Length = 1000 ft - 2 * 200 ft
Length = 1000 ft - 400 ft
Length = 600 ft

Now, we can calculate the area of the pasture by multiplying the length and width:

Area = Length * Width
Area = 600 ft * 200 ft
Area = 120,000 square feet

Since one bag of fertilizer covers 5000 square feet, we can divide the total area of the pasture by the area covered by one bag to find the number of bags needed:

Number of bags = Area of pasture / Area covered by one bag
Number of bags = 120,000 square feet / 5000 square feet
Number of bags = 24 bags

Therefore, Farmer Brown needs to buy 24 bags of fertilizer to cover his hay pasture.