A rectangle maintains constant area

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

Problem

A rectangle maintains constant area 60 cm260\text{ cm}^2. At the moment its length is 10 cm10\text{ cm} and increasing at 1 cm/s1\text{ cm/s}, determine the instantaneous rate of change of the rectangle’s perimeter. (a) 3.2 cm/s3.2\text{ cm/s} (b) 2.0 cm/s2.0\text{ cm/s} (c) 0.8 cm/s0.8\text{ cm/s} (d) −0.8 cm/s-0.8\text{ cm/s}

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