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

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

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The length l of a rectangle is decreasing at the rate of 2 cm/sec while the width w is increasing at a rate of 2 cm/sec.

The area of the rectangle is `A = l*w` , perimeter `P = 2*(l + w)` and the diagonal D is related by `D^2 = l^2 + w^2`

When l and w are changing with respect...

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