Answer:
x = 40
Step-by-step explanation:
If polygons are similar, then the corresponding sides will be in same ratio
[tex]\frac{45}{27}=\frac{30}{18}=\frac{x}{24}[/tex]
Now,
[tex]\frac{45}{27} = \frac{x}{24}\\\\[/tex]
Cross multiply,
x*27 = 45* 24
x [tex]= \frac{45*24}{27} \\\\\\[/tex]
[tex]= \frac{5*24}{3}\\[/tex]
= 5 *8
x = 40