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 materials is $0.825 per square foot of fence? Round your answer to the nearest cent.

A. $1,752.62 B. $2,054.63 C. $2,084.62 D. $3,504.63

Answer 1

The total cost is $3,504.63

Explanation:

Length of fence = 90 feet

Breadth of fence = 175 feet

Height of fence = 6 feet, 6 inches

1 inch = 0.0833333 feet

6 inches = 6*0.0833333 =0.4999998 feet

So, Height of fence = 6 feet + 0.49 feet =6.49 feet ≈ 6.5 feet

Perimeter =
`2(Length * breadth)=2(90 +175) = 530 feet`

Cost of erecting the fence is $1.25 per linear foot

So, Cost of erecting the fence in 530 feet =
`530 * 1.25 = 662.5`

Total surface area =
`2(length +breadth) Height =530 * 6.5=3445ft^2`

The cost of materials is $0.825 per square foot of fence

Cost of material for 3445 sq.feet =
`3445 * 0.825 =2837.7525`

So, total cost = 2842.125+662.5 = 3504.63

Hence The total cost is $3,504.63