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Math Help - Norman Bay Window math problem :S

  1. #1
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    Unhappy Norman Bay Window math problem :S

    I am stuck. I am working on some math homework and one of the problems is this:

    Norman window has 48ft perimeter. Objective: determine the dimensions, h and r, that will allow the max amount of light to enter the window.
    a) express the outer perimeter of the window in terms of r and h:

    so far I have
    p=48ft
    48=2r+2h+(pie)r
    Now what?

    b)using a value of 48 feet for the outer perimeter, determine h in terms of r:
    what?!

    c)express the total area of the window, A, in terms of h and r:

    d)express the total area of the window, A, in terms of r only and simplify. (should be a quadratic function)

    e) determine exact value of r that maximizes window:

    Thanks for anyone who helps!
    Last edited by mr fantastic; November 9th 2010 at 10:31 PM. Reason: Title.
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  2. #2
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    Quote Originally Posted by aband View Post
    I am stuck. I am working on some math homework and one of the problems is this:

    Norman window has 48ft perimeter. Objective: determine the dimensions, h and r, that will allow the max amount of light to enter the window.
    a) express the outer perimeter of the window in terms of r and h:

    so far I have
    p=48ft
    48=2r+2h+(pie)r
    Now what?

    nothing ... you've answered part (a)

    b)using a value of 48 feet for the outer perimeter, determine h in terms of r:
    what?!

    solve for h in the equation you found in part (a)

    c)express the total area of the window, A, in terms of h and r:

    A = 2rh + (pi r^2)/2

    d)express the total area of the window, A, in terms of r only and simplify. (should be a quadratic function)

    substitute what you found for h in part (b) into the area equation.

    e) determine exact value of r that maximizes window:

    find the vertex of the quadratic function
    ...
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  3. #3
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    Thanks so much!
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