A rectangular enclosure is to be divided into three congruent rectangular pens by…

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A rectangular enclosure is to be divided into three congruent rectangular pens by installing two interior fences that are parallel to one pair of exterior sides. If a total of 200 meters of fencing is available, what should be the length of each interior fence to maximize the total enclosed area? (a) 33 m33\text{ m} (approximately) (b) 25 m25\text{ m} (c) 50 m50\text{ m} (d) 20 m20\text{ m}

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