The base of a right triangle is increasing at a rate of 1 meter per hour and the height is increasing at a rate of 3 meters per hour. When the base is 9 meters and the height is 20 meters, then how fast is the AREA changing? The rate of change of AREA is ( square ) square meters per hour. (Enter your answer as a integer or as a decimal number rounded to 2 places.)
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Step 1: Write down the formula for the area of a right triangle, which is \( A = \frac{1}{2} \times \text{base} \times \text{height} \). Show more…
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