Question

Polygon A has an area of 27r square meters. Polygon A is dilated by a scale factor of 3 to create Polygon B. What is the area in square meters of Polygon B?

A. 243r square meters

B. 9r square meters

C. 729r square meters

D. 81r square meters

Answer 1

The area of a shape after dilation is equal to the scale factor squared times the original area. In this case, the scale factor is 3, so the area of Polygon B is equal to $(3^2)(27r)=\boxed{\textbf{(C) }729r\text{ square meters}}$.