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Math Help - perimeter and area

  1. #1
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    perimeter and area

    If the perimeter of a closed figure increases does the area also increase? Why/why not?
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Yes

    Quote Originally Posted by motsee View Post
    If the perimeter of a closed figure increases does the area also increase? Why/why not?
    Yes it does ...example P_{square}=4x,Area_{square}=x^2...if you increased it a fixed amount a then it is plain to see that the are increases P_{square_{2}}=4(x+a),Area_{square_{2}}=(x+a)^2
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  4. #4
    Senior Member topher0805's Avatar
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    Yes it does. Take a square for example:

    A=x^2

    <br />
P=4x

    When the perimeter increases, it is because x increases. What happens to A as x increases?


    ::EDIT:: Too fast for me LOL.
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  5. #5
    MHF Contributor Mathstud28's Avatar
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    Haha

    Quote Originally Posted by topher0805 View Post
    Yes it does. Take a square for example:

    A=x^2

    <br />
P=4x

    When the perimeter increases, it is because x increases. What happens to A as x increases?


    ::EDIT:: Too fast for me LOL.
    As my calc teacher would vehemently say "Not quick enough!!" haha
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