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?
@ms.sue
https://www.jiskha.com/questions/1795666/Question-Farmer-Brown-needs-to-fertilize-his-hay-pasture-before-spring-arrives
Perimeter = 2L + 2W = 1,000.
2L + 2*200 = 1000,
L = 300 Ft.
A = L*W = 300 * 200 = 60,000 Ft^2. = Area of pasture.
Bags = 60,000Ft^2 * 1bag/5,000Ft^2 = 60,000/5,000 =
To find the number of bags of fertilizer Farmer Brown needs to buy, we first need to calculate the area of his hay pasture.
The formula for the area of a rectangle is:
Area = length × width
Given that the width is 200 feet, we still need to find the length of the pasture.
We know that the perimeter of a rectangle is given by:
Perimeter = 2 × (length + width)
Given that the perimeter of the pasture is 1000 feet, we can substitute the values into the formula:
1000 = 2 × (length + 200)
Next, we can divide both sides of the equation by 2:
500 = length + 200
By subtracting 200 from both sides of the equation, we can find the length:
length = 500 - 200
length = 300 feet
Now that we know the length and width of the pasture, we can calculate the area:
Area = length × width
Area = 300 feet × 200 feet
Area = 60000 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 ÷ Area covered by one bag
Number of Bags = 60000 square feet ÷ 5000 square feet
Number of Bags = 12 bags
Therefore, Farmer Brown needs to buy 12 bags of fertilizer.