Polygon Y has an area of 11 square units. Celia drew a scaled version of Polygon Y using a scale factor of3 and labeled it Polygon Z. What is the area of Polygon Z?

Answer:The area of polygon Z is 99 square unitsStep-by-step explanation:we know thatIf two figures are similar, then the ratio of its areas is equal to the scale factor squaredLetz ----> the scale factorx ----> area of polygon Zy ----> 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]soThe area of polygon Z is 9 times the area of polygon YThe area of polygon Z is 99 square units