Arectangle has one side of 8 cm. how fast is the diagonal of the rectangle changing at the instant when the other side is 6 cm and increasing at 3 cm per minute?

Step-by-step explanation:

Let l be one side,w be other side and s be diagonal.

We have

             s² = l² + w²

We have

          l = 8 cm

          w = 6 cm

           s² = l² + w²  

           s² = 8² + 6²

           s² = 100

           s = 10 cm

Taking derivative with respect to time in s² = l² + w²

The diagonal is increasing at 1.8 cm/minute.

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