It seems that given the variables length, width, area, perimeter, diagonal length, outer radius,inner radius of a rectangle, it is (almost)possible to get every other variable if any pair of said variables is given. The only pair that I can't figure out yet is the data pair inner radius and diagonal.
Is it also possible to get the length and width (and therefore everything else) given the inner radius r and the diagonal length d?
The width of the rectangle will just be $2$ times the inner radius and then you can use Pythagoras to get the length using the diagonal.