Question
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.
Answers
GPT-4o mini
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**.
\[
\text{Scale Factor} = \frac{\text{New Side Length}}{\text{Original Side Length}}
\]
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**.