Answer:
The ratio of their areas is 4:9
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
Let
z ---> the scale factor
x ---> the area of the smaller polygon
y ---> the area of the larger polygon
[tex]z^2=\frac{x}{y}[/tex]
we have
[tex]z=\frac{2}{3}[/tex] ---> the scale factor is given
substitute
[tex](\frac{2}{3})^2=\frac{x}{y}[/tex]
[tex]\frac{4}{9}=\frac{x}{y}[/tex]
Rewrite
[tex]\frac{x}{y}=\frac{4}{9}[/tex]
therefore
The ratio of their areas is 4:9
