I believe the answer is 7920 feet.
We have

and

so the equation is indeed exact. So we want to find a function
such that


Integrating both sides of the first equation wrt
gives

Differentiating both sides wrt
gives

So we have

or

-2(5)^2+2(5)-3
-2(25)+10-3
-50+10-3
-40-3
=-43
F<span>undamental Counting Principle (FCP) is the answer </span>