Question

Need help finding the fence post that will be needed

Answer 1

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:

`\begin{gathered} c^2=12^2+35^2\\ \\ c^2=144+1225\\ \\ c^2=1369\\ \\ c=37 \end{gathered}`

Now, calculating the perimeter, we have:

`P=37+35+12=84\text{ ft}`

Let's convert the perimeter to inches:

`P=84\text{ ft}=84\cdot12\text{ in}=1008\text{ in}`

Calculating the number of fences, we have:

`(1008)/(14)=72`

Therefore 72 fence posts will be needed.