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Answer:
The answer is "[tex]\bold{\frac{1}{9}}[/tex]"
Step-by-step explanation:
In this question, when two figures are similar so, the ratio from its size is equal to the squared factor that are:
Scaling factor= Z
Area of Polygon Y=a
Area of Polygon X=b
[tex]z=\frac{1}{3}\\\\using \ substitution:\\\\(\frac{1}{3})^2=\frac{a}{b}\\\\\frac{1}{9}=\frac{a}{b}\\\\a=\frac{1}{9}b[/tex]