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]