To find the scale factor between the two squares, we compare the side lengths of the original square and the dilated square.
Given:
- Original square side length = 14 cm
- Dilated square side length = 12.25 cm
The scale factor is calculated as follows:
\[ \text{Scale factor} = \frac{\text{Side length of the dilated square}}{\text{Side length of the original square}} = \frac{12.25}{14} \]
Now, let's simplify \(\frac{12.25}{14}\):
Convert 12.25 to a fraction: \[ 12.25 = \frac{1225}{100} = \frac{49}{4} \]
Now calculate the scale factor: \[ \text{Scale factor} = \frac{49/4}{14} = \frac{49}{4} \div 14 = \frac{49}{4} \times \frac{1}{14} = \frac{49}{56} = \frac{7}{8} \]
Thus, the scale factor is \( \frac{7}{8} \).
So the correct response is: 7/8