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Find the dimensions of a rectangle with perimeter 100 ft whose area is as large as possible. What is the Main formula to use? What

Find the dimensions of a rectangle with perimeter 100 ft whose area is as large as possible. What is the Main formula to use? What do the variables in the Main formula represent? What is the secondary formula to be used? What is the importance of the secondary formula?
Why is the variable x representing the length have the following constraint:
0 less than or equal to x less than or equal to 50?

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