Question

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 similar (due to dilation), the ratio of corresponding sides is equal. 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: Calculate \(AB\)

We also know that \(\frac{A'B'}{AB}=k\). Given \(A'B' = 15\) and \(k = 2.5\), then \(AB=\frac{A'B'}{k}\). Substituting the values, we get \(AB=\frac{15}{2.5}=6\).

Answer:

6 units