a 5 foot fence will be built around the perimeter of a 50 foot by 120 foot rectangular lot. if the fence costs $1.80 per linear foot for labor and $.40 per square foot for material, what will be the cost of the fence?
P = 2L + 2W
P = (2*50) + (2*120)
P = 340 feet
(1.8 * 340) + 0.4 * (5 * 340) = $_______
To find the cost of the fence, we need to calculate the total length of the fence and the total area of the lot.
1. Calculate the perimeter of the lot:
Perimeter = 2 * (Length + Width)
Perimeter = 2 * (50 + 120)
Perimeter = 2 * 170
Perimeter = 340 feet
2. Calculate the total length of the fence:
Since the fence will be built around the perimeter of the lot, the length of the fence will be equal to the perimeter of the lot.
Total Length of Fence = Perimeter = 340 feet
3. Calculate the total area of the lot:
Area = Length * Width
Area = 50 * 120
Area = 6000 square feet
4. Calculate the cost of labor:
Cost of labor = Total Length of Fence * Cost per linear foot for labor
Cost of labor = 340 feet * $1.80 per linear foot
Cost of labor = $612
5. Calculate the cost of material:
Cost of material = Area * Cost per square foot for material
Cost of material = 6000 square feet * $0.40 per square foot
Cost of material = $2400
6. Calculate the total cost of the fence:
Total Cost of Fence = Cost of labor + Cost of material
Total Cost of Fence = $612 + $2400
Total Cost of Fence = $3012
Therefore, the cost of the fence will be $3012.