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 new figure is the ratio of the corresponding side lengths of the new figure to the original figure.
Let the side - length of the original square be $a = 6$ and the side - length of the new square be $b = 7$. The scale factor $k=\frac{b}{a}$.

Step2: Calculate the scale factor

Substitute $a = 6$ and $b = 7$ into the formula: $k=\frac{7}{6}$.

Answer:

$\frac{7}{6}$