Answer :
65 units
Explanation
Step 1
Let
current perimeter : 26 units
s.f: 2.5
The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object),so
[tex]\text{scale factor=}\frac{transformed\text{ figure}}{\text{original figure}}[/tex]now, replace
[tex]\begin{gathered} \text{scale factor=}\frac{transformed\text{ figure}}{\text{original figure}} \\ 2.5=\frac{transformed\text{ figure}}{26\text{ units}} \end{gathered}[/tex]Finally, solve for transformed figure
[tex]\begin{gathered} 2.5=\frac{transformed\text{ figure}}{26\text{ units}} \\ \text{ Mulitply both sides by 26} \\ 2.5\cdot26units=\frac{transformed\text{ figure}}{26\text{ units}}\cdot26\text{ units} \\ 65\text{ units = new perimeter} \end{gathered}[/tex]therefore, the answer is
65 units
I hope this helps you