Similar Rectangles
When two rectangles are similar, the ratio of their corresponding sides is the same.
Side x of the largest rectangle corresponds to side 10 of the smallest rectangle.
Side 9 of the largest rectangle corresponds to side 6 of the smallest rectangle.
Therefore:
[tex]\begin{gathered} \frac{x}{10}=\frac{9}{6} \\ \text{Multiply by 10:} \\ x=10\cdot\frac{9}{6}=\frac{90}{6} \\ x=15 \end{gathered}[/tex]
x = 15
