Question

the rectangle on the right is a scaled copy of the rectangle on the left. identify the scale factor. express your answer as a whole number or fraction in simplest form. answer attempt 1 out of 2

Explanation:

Step1: Select a side to compare

We can choose the lengths of the corresponding sides. Let's use the longer - side lengths.

Step2: Calculate the scale factor

The scale factor $k$ is found by dividing the length of the side of the scaled - copy by the length of the corresponding side of the original. The length of the longer side of the original rectangle is 36, and the length of the longer side of the scaled copy is 45. So, $k=\frac{45}{36}$.

Step3: Simplify the fraction

$\frac{45}{36}=\frac{45\div9}{36\div9}=\frac{5}{4}$

Answer:

$\frac{5}{4}$