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A square (a by a) and a rectangle (a by b) can have sides that are of equal length.
Yes they are equal in length
Any multiple of 20 that is greater than 400. If the multiple is 400 or fewer then the length of the rectangle will be less than (or equal to) its width which contradicts the definition of the length as the longer side of a rectangle.
The width and the length are independent. You can have a very long rectangle which is very wide or not wide at all. They are related when it comes to calculating area or perimeter of the rectangle. Perhaps that is what you meant?
A rectangle having all four sides as an equal single length is a square.