Question

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

Answer 1

The correct answer is:

C. 15 inches by 27 inches.

The new dimensions of the rectangle after it is dilated by a scale factor of 3 will be 15 inches by 27 inches.

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Answer 2

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 $5inches$ and the length is $9 inches$

 3. Therefore, the new dimensions are:

$Width=3(5inches)=15inches\\ Lenght=3(9inches)=27inches$

 The answer is the option C: C) $15inches$ by $27 inches$