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

Step-by-step 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`