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.

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ from the original rectangle to the scaled - copy is given by the ratio of corresponding side lengths. Let's use the lengths of the horizontal sides. If the length of the side of the original rectangle is $l_1$ and the length of the corresponding side of the scaled - copy is $l_2$, then $k=\frac{l_2}{l_1}$.

Step2: Identify the side lengths

The length of the horizontal side of the original rectangle $l_1 = 36$, and the length of the horizontal side of the scaled - copy $l_2 = 45$.

Step3: Calculate the scale factor

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

Answer:

$\frac{5}{4}$