A rectangle has a width of 5 inches and a length of 9 inches. What will be the new dimensions of the rectangle after it is dilated by a scale factor of 3?

A) 8 inches by 12 inches

B) 15 inches by 9 inches

C) 15 inches by 27 inches

D)45 inches by 81 inches

To solve this problem you must apply the proccedure shown below:

 1. When a rectangle is dilated by a scale of factor, you must multiply the original dimensions by this scale of factor to obtain the new dimensions.

 2. The original dimensions are: The width is [tex]5inches[/tex] and the length is [tex]9 inches[/tex]

 3. Therefore, the new dimensions are:

[tex] Width=3(5inches)=15inches\\ Lenght=3(9inches)=27inches [/tex]

 The answer is the option C: C) [tex]15inches[/tex] by [tex]27 inches[/tex]