A farmer has 120 meters of fencing to build a rectangular pen along a straight river

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

Problem

A farmer has 120 meters of fencing to build a rectangular pen along a straight river, so that no fencing is needed on the side bordering the river. Determine the width (the two sides perpendicular to the river) that maximizes the enclosed area. Give your answer in meters.

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