A rectangular garden is to be constructed against a straight wall

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

A rectangular garden is to be constructed against a straight wall, so fencing is required only for the two sides perpendicular to the wall and the side opposite the wall. The gardener has 80 m of fencing. What value of xx, the length (in meters) of each side perpendicular to the wall, maximizes the enclosed area? (a) 40 m40\text{ m} (b) 26.7 m26.7\text{ m} (c) 20 m20\text{ m} (d) 13.3 m13.3\text{ m}

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