00:01
I want to prove that when you dilate an image, you get the area squared, or the area is the scale factor squared.
00:08
So if i take the rectangle on the left, i'll call sides x and y.
00:12
And if i were to dilate them, i would dilate them by a zoom factor, and we'll call that zoom factor k.
00:17
So my new side, my new x side would be kx, and my new y side would be ky.
00:22
And if i take the two corresponding sides like kx and x, and i divide them, kx over x, these x is simplified, and i'm left with the scale factor k.
00:35
So i want to prove that when i compare the areas of two rectangles, i get the scale factor k squared.
00:41
So let's find the area...