Respuesta :

The new area will be 320 in²

Explanation

Lin has a drawing with an area of 20 in² and she increases all sides by a scale factor of 4.

The general rule we need to use here.......

"If the lengths of the sides in a shape are all increased by a scale  factor of  [tex]k[/tex], then the area will be increased by a scale factor of  [tex]k^2[/tex]"

Here the sides are increased by a scale factor of 4. So, the area will be increased by a scale factor of  [tex](4)^2 =16[/tex]

Thus, the new area will be:  [tex](20*16)in^2 = 320in^2[/tex]