Question

Lin has a drawing with an area of 20 in squared. If she increases all sides by a scale factor of 4, what will the new area be?

Answer 1

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  $k$, then the area will be increased by a scale factor of  $k^2$"

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

Thus, the new area will be:  $(20*16)in^2 = 320in^2$