Answer:
The scale factor is 4
Explanation:
This question requires an attachment; I'll answer this question using the attached figure
From the attachment
Length OA = 3 units
Length OA' = 3 units + 9 units
Length OA' = 12 units
Scale Factor is calculated as follows;
![Scale\ Factor = (New\ Side)/(Original\ Side)](https://img.qammunity.org/2021/formulas/mathematics/high-school/s4ji8r4by4o9mg02suj4kqryyq9tvxlqzu.png)
Given that the original shape is ABC, the original side will be OA
Hence, Original Side = 3 units
New Side = OA' = 12 units
The formula becomes
![Scale\ Factor = (12\ units)/(3\ units)](https://img.qammunity.org/2021/formulas/mathematics/high-school/nfv9anax7fpnugjgge0fo0jb1wonqsrfap.png)
![Scale\ Factor = 4](https://img.qammunity.org/2021/formulas/mathematics/high-school/dao5i1fbndxify0quqzptpco7rsga433tt.png)
Hence, the scale factor is 4