Answer: The missing measure on the big rectangle = 30 ft.
Step-by-step explanation:
Given: The small rectangle was enlarged or dilated to create the big rectangle.
The dimensions of the small rectangle is 2 ft buy 12 ft.
Since we know that the scale factor of dilation is the ratio of the corresponding sides of the image to the pre-image
The scale factor (k) of dilation is given by :-
[tex]k=\frac{\text{Width of big rectangle}}{\text{Width of small rectangle}}\\\\\Rightarrow\ k=\frac{5}{2}[/tex]
Now, the length of the big rectangle is given by :-
[tex]x=k\times(\text{length of small rectangle})\\\\\Rightarrow\ x=\frac{5}{2}\times12\\\\\Rightarrow\ x=30\ ft[/tex]
