If a polygon has an area of 9 cm^2 and is dialated by a factor of 3, what will be the area of the dilated polygon?

Answer 1

Here is a square and it's dilation (by a factor of 3):

The area of the first is 2•2 = 4

The area of the second is 6•6 = 36

So the area of the 2nd is 9 times bigger. Notice that the scale factor of 3 squared is 9?