To find the scale factor of the shaded figure, find the ratio of the shaded area to the bigger area and then, find the square root of this ratio.
[tex]\frac{50}{72}=\frac{25}{36}[/tex][tex]\sqrt[]{\frac{25}{36}}=\frac{5}{6}[/tex]The scale factor is 5/6.
Using this scale factor, find the value of x.
[tex]\begin{gathered} \frac{x}{8}=\frac{5}{6} \\ x=\frac{5}{6}\cdot8 \\ x=6.67 \end{gathered}[/tex]x has a value of 6.67.