The two rectangles are similar. What is the ratio of the sides of the smaller rectangle to the corresponding sides of the larger rectangle?

Answer:
1:3 and 1:3
Step-by-step explanation:
The ratio of the sides of the smaller rectangle to the corresponding sides of the larger rectangular are as follows:
The ratio of the heights of the smaller rectangle and the bigger rectangle is
[tex]Ratio_1 = \dfrac{4cm}{12cm} = \dfrac{1}{12} = 1:3[/tex]
and the ratio of the lengths of the smaller rectangle and the bigger rectangle is
[tex]Ratio_2 =\dfrac{8cm}{24cm} =\dfrac{1}{3} = 1:3[/tex]
Therefore, we have the ratio of 1: 3 for heights and 1:3 for lengths.