Answer:
Polygon Y's area is one ninth (1/9) of Polygon X's area
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
In this problem
Let
z-----> the scale factor
a-----> Polygon Y's area
b----> Polygon X's area
[tex]z^{2}=\frac{a}{b}[/tex]
we have
[tex]z=\frac{1}{3}[/tex]
substitute
[tex](\frac{1}{3})^{2}=\frac{a}{b}[/tex]
[tex]\frac{1}{9}=\frac{a}{b}[/tex]
[tex]a=\frac{1}{9}b[/tex]
therefore
Polygon Y's area is one ninth (1/9) of Polygon X's area
