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Q.

Two parallel sides of a rectangle are being lengthened at the rate of 2 cm/sec while the other two sides are shortened in such a way the area of the rectangle is 50 sq. cm. The rate of change of the perimeter when the length of an increasing side 5 cm is ______ cm /sec

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answer is -4.

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Detailed Solution

dxdt=2,xy=50;x=5⇒y=10;A=xy

ddt=xdydt+ydxdt; 0=5dydt+10(2);dydt=−4

S=2(x+y)⇒dSdt=−4cm/sec

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