A square with a side length of 3 cm is enlarged to have a side length of 12 cm. What is the scale factor used for this enlargement?

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1 answer

To find the scale factor, you can compare the new side length to the original side length.

The original side length of the square is 3 cm, and the enlarged side length is 12 cm.

The scale factor is calculated as follows:

\[ \text{Scale Factor} = \frac{\text{New Side Length}}{\text{Original Side Length}} = \frac{12 , \text{cm}}{3 , \text{cm}} = 4 \]

So, the scale factor used for this enlargement is 4.