Respuesta :
Answer:
AB=6 Units
Step-by-step explanation:
Given the following lengths of rectangle ABCD and its dilation A'B'C'D' respectively
- A'B' = 15 Units
- B'C' = 9.5 Units
- BC = 3.8 units
We are to determine the length of AB. To do this, we first determine the dilation factor.
[tex]D$ilation Factor =\dfrac{B'C'}{BC} =\dfrac{9.5}{3.8} =2.5[/tex]
Therefore:
[tex]\dfrac{A'B'}{AB} =2.5\\\\\dfrac{15}{AB} =2.5\\$Cross multiply \\ 2.5 AB =15 \\AB=15 \div 2.5\\$Therefore, AB=6 Units[/tex]
