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Question
the area of a rectangular region is increasing at a rate of 18,000 square centimeters per hour. what is this rate, in square meters per minute? (1meter=100centimeters)
Step1: Convert cm² to m²
Since 1m = 100cm, 1m² = (100cm)² = 10000cm². So 18000cm² = $\frac{18000}{10000}$m² = 1.8m².
Step2: Convert hours to minutes
1 hour = 60 minutes. So rate = $\frac{1.8m²}{60min}$ = 0.003 m²/min.
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