A farmer decides to build a fence to enclose a rectangular field in which he will plant a crop. He has 1400  feet of fence to use and his goal is to maximize the area of his field. A. What is the width of the field if the length of the field is 100  feet? B.  Define a function k that determines the length of the fence in feet in terms of the fence's width in feet, w , given the total amount of fence is 1400 feet.

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