Polygon Y has an area of 11 square units. Celia drew a scaled version of Polygon Y using a scale factor of 3 and labeled it Polygon Z.What is the area of PolygonZ ?square units
Q. Polygon Y has an area of 11 square units. Celia drew a scaled version of Polygon Y using a scale factor of 3 and labeled it Polygon Z.What is the area of Polygon Z ?square units
Identify Area and Scale Factor: Identify the area of the original polygon (Polygon Y) and the scale factor used to create the scaled version (Polygon Z).Area of Polygon Y: 11 square units. Scale factor: 3.
Relationship Between Scale Factor and Area: Understand the relationship between the scale factor and the area of similar polygons. When a scale factor is applied to the dimensions of a shape, the area is scaled by the square of the scale factor.
Calculate Area of Polygon Z: Calculate the area of Polygon Z by squaring the scale factor and multiplying it by the area of Polygon Y.Area of Polygon Z = (Scale factor)2×Area of Polygon Y=32×11=9×11.
Perform Multiplication: Perform the multiplication to find the area of Polygon Z.Area of Polygon Z = 9×11=99 square units.