Answer: [tex]scale\ factor=2.5[/tex]
Step-by-step explanation:
First, it is important to know that the scale factor is defined as a ratio of two corresponding side lengths of similar figures.
Similar figures are defined as those figures in which the ratio of their corresponfing side lengths are equal and their corresponding angles are congruent (which means that they have the same measure).
In this case, you know that the rectangles given in the picture are similar.
Therefore, you can find the scale factor that was applied to the first rectangle to get the resulting image, dividing the lenghts of their corresponding sides.
Then, this is:
[tex]scale\ factor=\frac{7.5}{3}\\\\scale\ factor=2.5[/tex]
