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 $3504.625

Explanation:

1 inch = 0.0833333 feet

Height = 6 feet 6 inches =
`6+6 * 0.0833333=6.5 feet`

Length = 90 feet

Breadth = 175 feet

Perimeter =
`2(l+b)=2(90+175) = 530 feet`

Cost of erecting the fence is $1.25 per linear foot .

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

Cost of erecting the fence of 530 feet =
`662.5`

Area of fence =
`2(l+b)h=530 * 6.5=3445 feet^2`

Cost of materials is $0.825 per square foot of fence

Cost of materials of 3445 square foot of fence =
`3445 * 0.825`

=
`2842.125`

Total cost = $2842.125+$662.5

Total cost = $3504.625

Hence the total cost is $3504.625