if you would like to dilate a square with a side length of 6 units to create a square with a side length of 21 units, what scale factor should you use? Write your answer in decimal form. Round to the nearest tenth.

Answer 1

To find the scale factor for dilating a square from a side length of 6 units to a side length of 21 units, you can use the following formula for the scale factor:

\[ \text{Scale Factor} = \frac{\text{New Side Length}}{\text{Original Side Length}} \]

In this case:

\[ \text{Scale Factor} = \frac{21}{6} = 3.5 \]

Therefore, the scale factor to transform the square from a side length of 6 units to a side length of 21 units is 3.5.