Question

what is the cost of constructing a fence 6 feet 6 inches high around a lot measuring 90 feet by 175 feet, if the cost of erecting the fence is $1.25 per linear foot and the cost of material is$0.82 per square foot of fence?

$2837.40. Step-by-step explanation: To find the cost of constructing the fence, you will need to first find the perimeter of the lot. The perimeter is the distance around the outside of the lot. To find the perimeter of the lot, add the lengths of all four sides of the lot: 90 feet + 175 feet + 90 feet + 175 feet = 430 feet. Then, add 6 feet 6 inches to the height of the fence to convert it to feet. There are 12 inches in 1 foot, so 6 feet 6 inches is equivalent to 6 + (6/12) = 6.5 feet. So, the total height of the fence is 6.5 feet. To find the cost of the materials, you will need to find the total area of the fence. The area of the fence is the amount of surface that the fence covers. To find the area, multiply the height of the fence by the perimeter: 6.5 feet * 430 feet = 2795 square feet. To find the cost of the materials, multiply the cost per square foot by the total area of the fence:$0.82/square foot * 2795 square feet = $2299.90. To find the cost of the labor, multiply the number of linear feet of fence by the cost per linear foot: 430 feet *$1.25/foot = $537.50. To find the total cost, add the cost of the materials to the cost of the labor:$2299.90 + $537.50 =$2837.40.