Problem 4 of 7
Optimize area under constraint rectangle perimeter 100.
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model dimensions and constraints.
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Model dimensions and constraints for rectangles and composite regions.
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Solution
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1. Define variables for dimensions.
2. Use the constraint to write one variable in terms of another.
3. Write area function and find maximum from vertex or reasoning.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Optimizing without using the constraint.