The scaled perimeter of the polygon is,
[tex]\begin{gathered} P=5\times0.38 \\ P=1.9\text{ cm} \end{gathered}[/tex]The expression to calculate the actual perimeater is,
[tex]\text{Actual Perimeter=P}\times Scale\text{ factor.}[/tex]Here, scale factor is 6.5 cm.
[tex]\begin{gathered} \text{Actual Perimeter=1.9}\times6.5 \\ =12.35\text{ cm} \end{gathered}[/tex]Thus, the actual perimeter of the polygon is 12.35 cm.