We have the next area ratio
[tex]256\colon361[/tex]In order to know the perimeter ratio we need to calculate the square root of each number
[tex]\begin{gathered} \sqrt[]{256}=16 \\ \sqrt[]{361}=19 \end{gathered}[/tex]Therefore the perimeter ratio is
[tex]16\colon19[/tex]ANSWER
16:19