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.
So like... I did math and stuff and found the length (300) bc that might help but idk what the answer is or even remotely how to find it. Help!!!!!!
@oobleck
@Ms Sue
The perimeter is 1,000 feet. The width is 200 feet.
P = 2L + 2W
1,000 = 2L + 400
600 = 2L
300 = L
Area = L * W
A = 60,000 square feet
Take it from there.
To find the area of Farmer Brown's hay pasture and determine how many bags of fertilizer he needs, you can follow these steps:
1. Given that the width of the pasture is 200 feet, and we know the perimeter is 1000 feet, we can use this information to find the length of the pasture.
- The formula for the perimeter of a rectangle is: P = 2(length + width). In this case, we know the perimeter is 1000 feet, and the width is 200 feet. Plugging these values into the formula, we get: 1000 = 2(length + 200).
- Simplifying the equation, we have: 1000 = 2length + 400.
- Subtracting 400 from both sides of the equation, we get: 600 = 2length.
- Dividing both sides of the equation by 2, we find: 300 = length.
So, Farmer Brown's hay pasture has a width of 200 feet and a length of 300 feet.
2. To find the area of the pasture, we multiply the length by the width.
- The formula for the area of a rectangle is: A = length × width. Plugging in the values we found, the area is: A = 300 × 200.
- Multiplying these numbers, we get: A = 60,000 square feet.
Therefore, Farmer Brown's hay pasture has an area of 60,000 square feet.
3. Finally, to determine the number of bags of fertilizer Farmer Brown needs, we divide the area of the pasture by the area covered by one bag of fertilizer.
- Given that one bag of fertilizer will cover 5000 square feet, we divide the pasture area by this value.
- Dividing 60,000 square feet by 5000 square feet, we find: 60,000 ÷ 5000 = 12.
So, Farmer Brown needs to buy 12 bags of fertilizer to cover his hay pasture.
I hope this explanation helps you understand how to solve the problem step-by-step!