Answer:
The scale factor is 3/2.
Explanation:
Let's use the side PQ.
The original length was 8 units.
And the new length is 12 units.
Let the scale factor be k. Therefore:
![8k=12](https://img.qammunity.org/2022/formulas/mathematics/college/xkajeglowwih59gil3pua4z6zyrarw2wt0.png)
By dividing both sides by 8, we can see that our scale factor from ΔPQR to ΔP'Q'R' is:
![\displaystyle k=(12)/(8)=(3)/(2)](https://img.qammunity.org/2022/formulas/mathematics/college/h39473swiud2xk4xigzqo2qu9482335ust.png)