The first thing we must do for this case is to calculate the scale factor.
For this, we make the relationship between two parallel sides.
We have then:
[tex] k =\frac{B'C'}{BC}
[/tex]
Substituting values we have:
[tex] k = \frac{9.5}{3.8}
k = 2.5
[/tex]
We are now looking for the value of AB
We have then:
[tex] AB = \frac{A'B'}{k}
[/tex]
Substituting values:
[tex] AB = \frac{15}{2.5}
AB = 6
[/tex]
Answer:
The scale factor is:
[tex] k = 2.5
[/tex]
The value of AB is:
[tex] AB = 6 [/tex]
