Answer : The figure of the new rectangle is shown below.
Step-by-step explanation :
As we are given that:
Length of rectangle = 9 inches
Width of rectangle = 12 inches
When the rectangle is dilated by a scale factor of 3.5 then it create a new rectangle.
Now we have to determine the figure of the new rectangle.
Formula of scale factor is:
[tex]\text{Scale factor}=\frac{\text{Larger length}}{\text{Smaller length}}[/tex]
Given:
Scale factor = 3.5
The length of new rectangle will be:
[tex]\text{Scale factor}=\frac{\text{Larger length}}{\text{Smaller length}}[/tex]
[tex]3.5=\frac{\text{Larger length}}{9}[/tex]
[tex]\text{Larger length}=3.5\times 9[/tex]
[tex]\text{Larger length}=31.5[/tex] inches
and,
The width of new rectangle will be:
[tex]\text{Scale factor}=\frac{\text{Larger width}}{\text{Smaller width}}[/tex]
[tex]3.5=\frac{\text{Larger width}}{12}[/tex]
[tex]\text{Larger width}=3.5\times 12[/tex]
[tex]\text{Larger width}=42[/tex] inches
Thus, the figure of the new rectangle is shown below.
