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 $a = 9$ and the side length of the scaled - copy be $b = 40$.
The scale factor $k=\frac{b}{a}$.

Step2: Calculate the scale factor

$k=\frac{40}{9}$

Answer:

$\frac{40}{9}$