A farmer needs to enclose three sides of a field with a fence (the fourth side is a river). The farmer has 32 feet of fence and wants the field to have an area of 128 sqfeet. What should the dimensions of the field be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side). Additionally, the length should be as long as possible.)
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