Need help finding the fence post that will be needed

First, let's calculate the length of the hypotenuse, using the Pythagorean theorem.
This theorem states that the hypotenuse squared is equal to the sum of each leg squared.
So we have:
[tex]\begin{gathered} c^2=12^2+35^2\\ \\ c^2=144+1225\\ \\ c^2=1369\\ \\ c=37 \end{gathered}[/tex]Now, calculating the perimeter, we have:
[tex]P=37+35+12=84\text{ ft}[/tex]Let's convert the perimeter to inches:
[tex]P=84\text{ ft}=84\cdot12\text{ in}=1008\text{ in}[/tex]Calculating the number of fences, we have:
[tex]\frac{1008}{14}=72[/tex]Therefore 72 fence posts will be needed.