A farmer has 80 meters of fencing with which to construct three identical adjacent…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A farmer has 80 meters of fencing with which to construct three identical adjacent rectangular pens, arranged side-by-side in a single row so that the pens share interior fencing. What is the maximum total area, in square meters, the farmer can enclose? (a) 160160 (b) 200200 (c) 400400 (d) 4003   (≈133.3)\dfrac{400}{3}\;\,(\approx 133.3)

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