Answer:
The area of polygon Z is 99 square units
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 ----> area of polygon Z
y ----> area of polygon Y
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]z=3[/tex]
[tex]y=11\ units^2[/tex]
substitute and solve for x
[tex]3^{2}=\frac{x}{11}[/tex]
[tex]x=9(11)\\x=99\ units^2[/tex]
so
The area of polygon Z is 9 times the area of polygon Y
The area of polygon Z is 99 square units
