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Math Help - Optimization help

  1. #1
    Junior Member
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    Jul 2008
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    Optimization help

    Consider a window the shape of which is a rectangle of height surmounted a triangle having a height that is 1.5 times the width of the rectangle.



    I think over all area will equal

    A=w*h+1/2(w*h)

    For the rectangle
    A=w*h (obviously)
    Perimeter = 2w+2h

    Triangle
    A=1/2w*t
    Then i turned the triangle into a right triangle by cutting it in half.
    and then to solve for the triangle side we have
    z^2=(x/2)^2+t^2

    I am not sure where to go from here
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  2. #2
    MHF Contributor
    Joined
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    Talking

    Quote Originally Posted by Casas4 View Post
    Consider a window the shape of which is a rectangle of height h surmounted a triangle having a height T that is 1.5 times the width w....
    Once you've "considered" the window, what are you supposed to do with it?

    I see where you've done some "area" stuff, but that's just geometry. Your subject line refers to "optimization", which is calculus. But what were the instructions? What calculus-type stuff are you supposed to do?

    Thank you!
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  3. #3
    Junior Member
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    Oh I'm sorry "If the cross-sectional area is A, determine the dimensions of the window which minimize the perimeter.? So I have to minimize the perimeter.
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