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25 July, 11:49

Is there a relationship between the area and the perimeter of a rectangle?

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  1. 25 July, 12:15
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    The are is A=W*L

    The perimeter is P=2L+2W

    So there is some form of relationship.

    A/W=L and P-2W=2L

    A/W=L and (P-2W) / 2=L

    A/W = (P-2W) / 2

    2A/W=P-2W

    2A=PW-2W^2

    If you line them up according to the quadratic formula you can have

    2W^2-PW+2A=0 where W is the variable equivalent to X in normal circumstances and P and A are set values. There is always a relationship between two numbers, or at least you can almost always create your own relationship. This may seem rather complicated but this is a complicated question and I applaud you for asking something of this sort.
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