A rectangular field is to be divided into three identical rectangular pens by…

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

Problem

A rectangular field is to be divided into three identical rectangular pens by installing two interior fences parallel to the longer side of the field. If exactly 240 m of fencing (including the two interior fences) is available, what length should each interior fence have so that the total enclosed area is maximized? (a) 40 m40\,\text{m} (b) 60 m60\,\text{m} (c) 30 m30\,\text{m} (d) 24 m24\,\text{m}

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