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Math Help - Optimization

  1. #1
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    Optimization

    My family is asking me how you can get different areas with the same circumference. (for example, the classic fence problem)... and why different dimensions get different areas.
    How do I explain this?
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  2. #2
    Junior Member eddie2042's Avatar
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    Quote Originally Posted by Morgan82 View Post
    My family is asking me how you can get different areas with the same circumference. (for example, the classic fence problem)... and why different dimensions get different areas.
    How do I explain this?
    Shouldn't this be common sense? Just write an example down on a piece of paper.

    If you have a square, with 16 meters of fencing (4 on each side), you will get an area of 16 m^2.

    But if you stretch it, and get a 7m x 1m rectangle; still have 16 meters of fencing, but now the area is 7m^2.
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  3. #3
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    Well, yeah that's obvious. But why?
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