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The length of a rectangle is decrea...

The length of a rectangle is decreasing at the rate of 2 cm/sec and the width is increasing at the rate of 2 cm/sec. When and , find the rate of change of (i) the perimeter (ii) the area of the rectangle.

Text Solution

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The correct Answer is:
`(i) -2cm//min " "(ii) 2 cm^(2)//min`
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Knowledge Check

  • The length x of a rectangle is decreasing at the rate of 5 cm/sec and the breadth y is increasing at the rate of 4 cm/sec. When x=8 cm and y=6 cm, find the rate of change of area of the rectangle.

    A
    2 cm/sec
    B
    `-2 ` cm/sec
    C
    `2 cm^(2)//sec`
    D
    `3 cm^2//sec`

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