Answer:
99 units²
Step-by-step explanation:
Polygon Y has an area of 11 square units. i.e the area of original figure is 11 square units.
Celia drew a scaled version of Polygon Y using a scale factor of 3 and labeled it polygon Z.
So the original figure is expanded 3 times. So its sides and apothem will be 3 times of the previous length.
As we know that,
[tex]\text{Area}_{polygon}=\dfrac{1}{2}\cdot \text{Perimeter}\cdot \text{Apethom}[/tex]
As along with the sides, the perimeter and apethom also increases 3 times. Hence, the area will increase 3×3 = 9 times.
Therefore, the area of the polygon Z will be,
[tex]=11\times 9[/tex]
[tex]=99[/tex] units²
