A rectangle has a constant perimeter of

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

40\text{ cm}

. At time

t=0

, its length

L

is increasing at a constant rate of

1\text{ cm/s}

while its width adjusts so that the perimeter remains

40\text{ cm}

. Determine the value of

L

(in centimeters) at which the rectangle's area is neither increasing nor decreasing.