Please reason step by step, and put your final answer within \boxed{}.
Consider two fields with rectangular shapes rather than squares. The area of the first rectangular field is 1 hectare, and the second field has 1% greater width than the first field with a length that is 5% less than the length of the first field. Determine the difference in area between these two fields, given that the width of the first field is proportional to the square root of its length.
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