A farmer has 240 ft of fencing to build a rectangular pen that is to be divided into…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A farmer has 240 ft of fencing to build a rectangular pen that is to be divided into three congruent smaller rectangles by two interior fences parallel to one of the shorter sides. Determine the dimensions of the outer rectangle that maximize the total enclosed area. State the length and width in feet.

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