A farmer has 120 meters of fencing to enclose a rectangular field that borders a…

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

Problem

A farmer has 120 meters of fencing to enclose a rectangular field that borders a straight river; no fence is needed along the river. If the two equal sides perpendicular to the river are each ww meters long, which value of ww produces the largest possible area of the field? (a) 60 m60\text{ m} (b) 30 m30\text{ m} (c) 40 m40\text{ m} (d) 20 m20\text{ m}

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