Answer:
The dilation on any point of the rectangle is  .
.
Step-by-step explanation:
From Linear Algebra, we define the dilation of a point by means of the following definition:
![G'(x,y) = O(x,y) +k\cdot [G(x,y)-O(x,y)]](https://tex.z-dn.net/?f=G%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2Bk%5Ccdot%20%5BG%28x%2Cy%29-O%28x%2Cy%29%5D) (1)
 (1)
Where:
 - Coordinates of the point G, dimensionless.
 - Coordinates of the point G, dimensionless. 
 - Center of dilation, dimensionless.
 - Center of dilation, dimensionless. 
 - Scale factor, dimensionless.
 - Scale factor, dimensionless. 
 - Coordinates of the point G', dimensionless.
 - Coordinates of the point G', dimensionless. 
If we know that  ,
,  and
 and  , then scale factor is:
, then scale factor is:
![(5,-5) = (0,0) +k\cdot [(2,-2)-(0,0)]](https://tex.z-dn.net/?f=%285%2C-5%29%20%3D%20%280%2C0%29%20%2Bk%5Ccdot%20%5B%282%2C-2%29-%280%2C0%29%5D)


The dilation on any point of the rectangle is:
![P'(x,y) = (0,0) + \frac{5}{2}\cdot [P(x,y)-(0,0)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20%5Cfrac%7B5%7D%7B2%7D%5Ccdot%20%5BP%28x%2Cy%29-%280%2C0%29%5D)
 (2)
 (2)
The dilation on any point of the rectangle is  .
.