Since we need to sew the border of the rug, we need to find its perimeter.
The perimeter of a circle is given by the next formula
[tex]\begin{gathered} P_{\text{circle}}=2\pi r \\ \text{where} \\ \pi=3.14 \end{gathered}[/tex]There, r is the radius of the circle
Then, in our particular case, r=2.5ft.
[tex]\Rightarrow P=2\pi\cdot(2.5)ft=2\cdot3.14\cdot2.5ft=15.7ft[/tex]And this result is already rounded to one decimal place.
In conclusion, we will need 15.7ft of fringe to perform the task