Cost per linear feet and square feet

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?

Answer 1

OK. Well, the cost per linear foot for erection of this fence is going to relate to the perimeter, which is

 

P = 2 (90 + 175) = 530 ft

so the erection cost is (530 ft)($1.25/ft) = $662.50

 

And the cost of materials will relate to the area of fence, which is

 

A = 2 (90 + 175) (6.5) = 3445 ft²

so the cost of materials is (3445 ft²)(0.825/ft²) = $2842.13. Have to round that one up to the nearest penny.

 

Total cost is $2842.13 + $662.50 = $3504.63

 

Cheers!

Answer 2

First let's solve the cost of erecting the fence which is $1.25 per linear foot:

 

This will be the space that the fence will occupy OR more simply, it is the total length of the fence that you're gonna make. Meaning, you just gotta get the perimeter of the lot which is:

 

2*90 + 2*175 = 530 feet

 

Cost of erecting is 530*1.25 = $662.5

 

Second is the actual material that you're gonna use. It is said that the height would be 6 feet 6 inches or just 6.5 feet. The cost given is $0.825 per square foot, (the square foot is the clue that you need to get an area). But what area? Is it the lot? No. It is the area of the actual fence that you're gonna make. You were given the height and you already solved the length a while ago which is 530 feet.

 

Total area of fence = 530*6.5 = 3445 sq. feet

 

Cost of materials = 3445*0.825 = $2842.125

 

Total Cost = 662.5 + 2842.125 = $3504.625