Answer:
A). Scale factor = [tex]\frac{1}{4}[/tex]
B). Length of the unknown side = 2.75 feet
Step-by-step explanation:
Part A
Since, the large rectangle was scaled by a scale factor 'k' to form the smaller rectangle,
Scale factor = [tex]\frac{\text{Side length of the image}}{\text{Side length of the preimage}}[/tex]
= [tex]\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}[/tex]
= [tex]\frac{4}{16}[/tex]
= [tex]\frac{1}{4}[/tex]
Part B
Scale factor = [tex]\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}[/tex]
[tex]\frac{1}{4}=\frac{\text{Side length of the smaller rectangle}}{11}[/tex]
Therefore, side length of the unknown side = [tex]\frac{11}{4}[/tex] = 2.75 feet
