A rectangle maintains a constant area throughout its motion

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A rectangle maintains a constant area throughout its motion. If at some instant the length is increasing, state the sign (positive, negative, or zero) of the rate of change of the width and briefly explain why.

Related theory

Algebraic Proportion
Related Rates
Rates of change
Rate of change of quantities

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