Answer:
It squares the amount you scaled it by.
Explanation:
For example, imagine that you had 2 by 2 square, and then you put it through a scale factor of 2.
Now each side length would be double of what it once was.
But when you multiply the new lengths together, the area would be of 4 times more.
(Original Equation) 2 * 2 = 4
(Scale Factor of 2) 4 * 4 = 16
So when the scale factor is made, the area would be squared to the multiple that you scaled it by.
***A square root is a number times itself.
(eg): 3 * 3 = 9
15 * 15 = 225
9 and 225 would be the square root in these problems.