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Quadrilateral ABCD is dilated into quadrilateral A'B'C'D'
Get the scale factor between two quadrilaterals (A'B'C'D'/ABCD)
We have B'C'/BC
[tex]scalefactor=\frac{B^{\prime}C^{\prime}}{BC}=\frac{9}{12}=\frac{3}{4}[/tex]Use this scale factor to get A'B' from AB = 5 inches.
[tex]\begin{gathered} A^{\prime}B^{\prime}=\frac{3}{4}AB \\ A^{\prime}B^{\prime}=\frac{3}{4}(5) \\ A^{\prime}B^{\prime}=\frac{15}{4} \end{gathered}[/tex]The answer is 15/4 inches