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Math Help - Finding a rule, domain and area.

  1. #1
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    Finding a rule, domain and area.

    The dimensions of an enclosure are shown. The perimeter of the enclosure is 160m.
    a) Find a rule for the area, A m^2, of the enclosure in terms of x.
    b) State a suitable domain of the function A(x).
    c) Find the maximum possible area of the enclosure and state the corresponding values of x and y.
    Thanks in advance everyone.
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  2. #2
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    I don't see a picture...
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    I thought I did post the picture. But I can't get it to work.
    No worries. Thanks for letting me know it doesn't show up.
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    Quote Originally Posted by grooverandshaker View Post
    The dimensions of an enclosure are shown. The perimeter of the enclosure is 160m.
    a) Find a rule for the area, A m^2, of the enclosure in terms of x.
    b) State a suitable domain of the function A(x).
    c) Find the maximum possible area of the enclosure and state the corresponding values of x and y.
    Thanks in advance everyone.
    Without the picture I guess that:

    (a) A = xy ... (1)

    But 2x + 2y = 160 => y = 80 - x .... (2)

    Substitute equation (2) into (1):

    A = x(80 - x).

    The remaining questions are left for you to do. If you need more help, please show all your qork and say where you get stuck.

    Note to potential posters: Since this question has been posted in the PRE-calculus subforum, calculus is not permitted.
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