Respuesta :

For this case we have that the area of the new figure is given by:

[tex]A '= k ^ 2A[/tex]

Where,

  1. k: scale factor
  2. 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]