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The Length X of a Rectangle is Decreasing at the Rate of 5 Cm/Minute and the Width Y is Increasing at the Rate of 4 Cm/Minute. When X = 8 Cm and Y = 6 Cm, Find the Rates of Change of (A) the Perimeter, and (B) the Area of the Rectangle. - Mathematics

The length x of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 cm/minute. When x = 8 cm and y = 6 cm, find the rates of change of (a) the perimeter, and (b) the area of the rectangle.

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Solution

Since the length (x) is decreasing at the rate of 5 cm/minute and the width (y) is increasing at the rate of 4 cm/minute, we have:

Hence, the area of the rectangle is increasing at the rate of 2 cm2/min.

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APPEARS IN

NCERT Class 12 Maths
Chapter 6 Application of Derivatives
Q 7 | Page 198
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