The length of a rectangle is increasing at a rate of 1 meter per day and the width is decreasing at a rate of 2 meters per day. When the length is 8 meters and the width is 18 meters, then how fast is the AREA changing?

The area is changing at 2 m²/d.

Step-by-step explanation:

The area of a rectangle is given by:

Where:

l is the length

w is the width

We have that the length is increasing at a rate:

And the width is decreasing at a rate:

The change in the rectangle's area is the following:  

When the length is 8 meters and the width is 18 meters we have:

Therefore, the area is changing at 2 m² per day.

I hope it helps you!                  

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step-by-step explanation: