Answer: The correct answer is 1.25.
Step-by-step explanation: We are given two similar figures that are regular pentagons with length of each side equal to 4 and 5.
We know that to find the scale factor of two similar figures, we need to find the ratio of length of the transformed figure to the length of the original figure.
Here, the first pentagon has side equal to 4 and the second pentagon has side equal to 5. So, the scale factor will be
\(5:4=1.25.\)
Thus, the scale factor is 1.25.
