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Problems > Mr. T's Calculus > 2006

## What's the area?

A certain lake has an irregular shape. In order to estimate the area, the North-South distance across the lake is measured every 100 feet down an East-West line. The results are shown in the table below. Use an appropriate technique to estimate the number of acres that the lake covers. Give a complete explanation of how you computed the area.
 East-West position (ft) Distance across lake (ft) 0 900 100 1500 200 1800 300 2000 400 2500 500 2700 600 2700 700 2700 800 2700 900 2700 1000 2700 1100 2700 1200 2700 1300 2700 1400 2600 1500 2600 1600 2600 1700 2600 1800 2600 1900 2600 2000 2500 2100 2500 2200 2500 2300 2500 2400 2500 2500 2500 2600 2400 2700 2300 2800 2300 2900 1800 3000 1600 3100 1500 3200 1400 3300 1400 3400 1300 3500 1300 3600 1100 3700 800 3800 0

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Testing the Limits

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