Answer:
The scale factor is 3.
Step-by-step explanation:
Since,
[tex]\text{Scale factor}= \frac{\text{scaled measure}}{\text{actual measure}}[/tex]
∵ If sides of a polygon are changed by a scale factor 'a' then its perimeter is also changed by the same scale factor,
[tex]\implies \text{Scale factor}=\frac{\text{scaled perimeter}}{\text{Actual perimeter}}[/tex]
By the given drawing,
The actual perimeter of the polygon = 10 unit,
Also, the scaled perimeter = 30 units ( given )
Hence,
[tex]\text{Scale factor}=\frac{30}{10}=3[/tex]
