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?

Question

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 $(3^2)(27r)=\boxed{\textbf{(C) }729r\text{ square meters}}$.