Question

Rectangle ABCD was dilated to create rectangle A'B'C'D.

Answer 1

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:

$k =\frac{B'C'}{BC}$

Substituting values we have:

$k = \frac{9.5}{3.8}\\k = 2.5$

We are now looking for the value of AB

We have then:

$AB = \frac{A'B'}{k}$

Substituting values:

$AB = \frac{15}{2.5}\\AB = 6$

Answer:

The scale factor is:

$k = 2.5$

The value of AB is:

$AB = 6$

Answer 2

AB is 6 units
Hope this helps