A team of engineers built a dam over a large river. In the process, they created a lake covering farmland and forest. The lake covers a total of 7,989 acres. If the lake covers 215... A team of engineers built a dam over a large river. In the process, they created a lake covering farmland and forest. The lake covers a total of 7,989 acres. If the lake covers 215 acres of farmland, how many acres of forest does it cover?
Understand the Problem
The question is asking us to find the number of acres of forest covered by a lake given that the lake covers 7,989 acres in total and 215 acres are dedicated to farmland. This requires subtraction to solve.
Answer
The lake covers $7,774$ acres of forest.
Answer for screen readers
The lake covers $7,774$ acres of forest.
Steps to Solve
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Identify the total area of the lake The total area covered by the lake is given as 7,989 acres.
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Identify the area dedicated to farmland The area that is dedicated to farmland is given as 215 acres.
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Subtract farmland from the total area To find the area covered by forest, subtract the farmland area from the total lake area:
$$ \text{Area of forest} = 7,989 - 215 $$
- Calculate the result Now, perform the subtraction:
$$ 7,989 - 215 = 7,774 $$
The lake covers $7,774$ acres of forest.
More Information
This calculation illustrates how to find an area by subtracting one component (farmland) from a total area (lake). In real scenarios, understanding land usage is crucial for managing natural resources.
Tips
- Not correctly identifying which area is farmland and which is forest.
- Misplacing numbers during subtraction. Double-check calculations to avoid simple arithmetic errors.
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