Coordinate system translation

Hello everyone. I'm having trouble with what I believe to be a translation issue. Here is the deal.

Say I have a rectangle in 2D space that is define as follows

(.38,.42) (.62,.42)

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|....................................|

|....................................|

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|______________________ |

(.38,.58) (.62,.58)

I need to translate it to this system:

(0,0) (1,0)

________________________

|....................................|

|....................................|

|....................................|

|....................................|

|______________________ |

(0,1) (1,1)

The translation has to be somewhat dynamic such that if the rectangle has different dimensions than those listed above, I can still translate to the system (0,0) - (1,1).

If possible, an algebraic solution for x and y would be even better.

I'm totally stumped here, can anyone assist?