Final answer:
Lin increases the sides of a drawing by a scale factor of 4, and the area increases by the square of that scale factor, making the new area 320 in².
Step-by-step explanation:
When Lin increases all the sides of a drawing by a scale factor of 4, the new area is not simply quadrupled. Instead, since area is two-dimensional, the scale factor should be squared to determine the change in area. This means you would multiply the original area by the square of the scale factor. So, if the original area is 20 in², the new area would be 20 in² × (4²), which is 20 in² × 16.
The calculation would look like this: 20 in² × 16 = 320 in². Therefore, the correct answer to what the new area will be is 320 in², which corresponds to option (a).