The length l of a rectangle is decreasing at the rate of 2 cm/sec while the width w is increasing at the rate of 2 cm/sec. When l = 12 and w = 5, the rate ofchange of area is  (in cm2/sec ) 

The length l of a rectangle is decreasing at the rate of 2 cm/sec while the width w is increasing at the rate of 2 cm/sec. When l = 12 and w = 5, the rate of
change of area is  (in cm2/sec ) 

  1. A

    14

  2. B

    12

  3. C

    8

  4. D

    4

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    Solution:

    dAdt=ldbdt+bdldtdAdtl=12,b=5=12×2+5×(2)=14

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