rectangle abcd was dilated to create rectangle abcd. what is ab? 6 units 7.6 units 9.5 units 12 units

Explanation:

Step1: Find the scale - factor

Since the rectangles are dilated, the ratio of corresponding sides is the same. The ratio of the vertical sides gives the scale - factor. Let the scale - factor be $k$. We know that $\frac{B'C'}{BC}=k$. Given $B'C' = 9.5$ and $BC = 3.8$, then $k=\frac{9.5}{3.8}=2.5$.

Step2: Find the length of AB

The horizontal sides are also in the same ratio. Let $AB = x$ and $A'B'=15$. Since $\frac{A'B'}{AB}=k$, we can write the equation $\frac{15}{x}=2.5$. Solving for $x$, we get $x=\frac{15}{2.5}=6$.

Answer:

6 units