i need help with this

Question

 A figure has a area of 64 units squared. Which describes the area of the figure after a dilation with a scale factor of 3/2?

a	32 units squared
b	144 units squared
c	112 units squared
d	96 units squared

Answer 1

When you dilate a figure by a scale factor of k, its sides increase by a factor of k, its area by k², and its volume by k³. So for the area:

Dilated Area = (Original Area)·k²

where Original Area = 64 units² and k = 3/2. Plug them in to get the answer.