For this case we have that the area of the new figure is given by:
[tex]A '= k ^ 2A[/tex]
Where,
- k: scale factor
- A: area of the original figure
Therefore, replacing values we have:
[tex]A '= (7) ^ 2 (\frac {4} {7})\\A '= 7 * 4\\A '= 28[/tex]
Answer:
The area of the dilated rectangle is:
[tex]A '= 28[/tex]
