Question

the square on the right is a scaled copy of the square on the left. identify the scale factor. express your answer as a fraction in simplest form.

Explanation:

Step1: Recall scale - factor formula

The scale factor from the original figure to the scaled - copy is the ratio of the corresponding side lengths of the scaled - copy to the original figure.
Let the side length of the original square be $a = 10$ and the side length of the scaled - copy square be $b = 23$.
The scale factor $k=\frac{b}{a}$.

Step2: Calculate the scale factor

Substitute $a = 10$ and $b = 23$ into the formula: $k=\frac{23}{10}$.
Since 23 and 10 have no common factors other than 1, the fraction is in simplest form.

Answer:

$\frac{23}{10}$