ANSWER:
66 centimeters
STEP-BY-STEP EXPLANATION:
The perimeter is defined as follows:
[tex]p=2\cdot W+2\cdot L[/tex]
We know the value of the perimeter and the value of the length, we replace and solve for the width, just like this:
[tex]\begin{gathered} 316=2\cdot W+2\cdot92 \\ 316=2W+184 \\ 2W=316-184 \\ W=\frac{132}{2} \\ W=66 \end{gathered}[/tex]
Therefore, the width is 66 centimeters
