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MATH ANALYSIS

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How should this be done?


Suppose you have 132 m of fencing with which to make two side-by-side rectangular enclosures against an existing wall. if the rectangular enclosures are adjacent and of the same depth what is the maximum are that can be enclosed?

  • MATH ANALYSIS - ,

    Draw a diagram!
    You will need three cross fences, and one that is parallel to the wall.
    Let the length of each cross fence be x.
    Express the length L of the longitudinal fence in terms of x and 132 m.
    Express the total area A(x) of the two rectangular areas in x and L, and subsequently in x only.
    Use calculus to maximize A(x). Solve for x.

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