Answer:
a. 2,520,000.00
b. $1,942,017.51
c. $577,982.49
Step-by-step explanation:
Distances in a Rectangle
a.
Running the cable along the edges of the field would need a total length of 860 ft + 340 ft = 1,200 ft of cable. The unit cost of the cable is $2,100 per foot, thus the cost of the total lenght of cable was 2,100*1,200= $2,520,000.
b. If the cable ran along the diagonal, the distance must be computed by
[tex]D=\sqrt{x^2+y^2}[/tex]
where x = 860 ft and y = 340 ft, thus
[tex]D=\sqrt{860^2+340^2}=924.77[/tex]
D = 924.77 ft. The cost of the cable would be 2,100*924.77= $1,942,017.51
c. The savings if the cable were installed along the diagonal of the field instead of around the edges of the field would be
$2,520,000 - $1,942,017.51 = $577,982.49
