When the rectangle is dilated, the new and the old rectangles will have a different area
The area of the image of the rectangle is 12k^2
How to determine the area of the image
The area of the rectangle is given as:
A = 12
The scale of dilation is given as k.
So, the area of the image of the dilation is:
[tex]A_2 = A * k^2[/tex]
This gives
[tex]A_2 = 12 * k^2[/tex]
Evaluate the product
[tex]A_2 = 12k^2[/tex]
Hence, the area of the image of the rectangle is 12k^2
Read more about dilation at:
https://brainly.com/question/10253650
