To answer this question we will set and solve an equation.
Recall that the perimeter of a rectangle is given by the following formula:
[tex]Perimeter=2length+2width.[/tex]Substituting Perimeter=316feet and length=97feet we get:
[tex]316ft=2*97ft+2width.[/tex]Simplifying the above result we get:
[tex]316ft=194ft+2width.[/tex]Subtracting 194ft from the above equation we get:
[tex]\begin{gathered} 316ft-194ft=194ft+2width-194ft, \\ 122ft=2width. \end{gathered}[/tex]Dividing the above equation by 2 we get:
[tex]\begin{gathered} \frac{122ft}{2}=\frac{2width}{2}, \\ 61ft=width. \end{gathered}[/tex]Answer: 61 feet.