Question

Question: Jorge draws a rectangle measuring 12$3$ ft. by 34$2$ ft. Then, he dilates the rectangle so it is 56$7.5$ ft. by 78$5$ ft. If 910$x$ represents the area of the original rectangle, which expression can he use to discover the area of11 the dilated rectangle? 12(1 point)Multiple Choice Options (Responses)( ) $x + (2.5)^2$( ) $x(2.5)^2$( ) $x(1.5)^2$( ) $x(2.5)$

Answer 1

When a figure is dilated by a scale factor k, linear dimensions multiply by k and area multiplies by k^2. Since each side is multiplied by 2.5, the area is multiplied by (2.5)^2. So the expression is

x(2.5)^2.