Answer:
Option A. k = 4.5, 54 cm
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem the constant of proportionality is equal to the scale factor
step 1
Find the scale factor
Let
k -----> the constant of proportionality
[tex]k=\frac{72}{16}=4.5[/tex] -----> ratio of the corresponding sides
step 2
Find the value of x
[tex]\frac{72}{16}=\frac{x}{12}\\\\x=4.5(12)\\\\x=54\ cm[/tex]
therefore
k = 4.5, 54 cm
