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Two parallel sides of a rectangle are be...

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 that the figure remains a rectangle of constant area `50 cm ^(2)`. When the length of an increasing side 5 cm, perimeter of the rectangle is changing at the rate of

A

`-4 cm//sec`.

B

`4 cm//sec`

C

`100 cm//sec`

D

`-25 cm//sec`

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The correct Answer is:
A
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