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Math Help - Find Rectangle Dimensions

  1. #1
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    Find Rectangle Dimensions

    A special window in the shape of a rectangle with semicircles at each end is to be made so that the outside dimensions are 100 feet in length. Find the dimensions of the rectangle that maximizes its area.

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  2. #2
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    Quote Originally Posted by magentarita View Post
    A special window in the shape of a rectangle with semicircles at each end is to be made so that the outside dimensions are 100 feet in length. Find the dimensions of the rectangle that maximizes its area.
    Do you have a drawing? You may wish to start labeling parts with the radius of the circles.

    r = Radius of each semi-circle.
    x = length of rectangle

    Feel free to pick your own labels.

    What is the total area based on these labels?

    Now what?

    Hint: 100 ft = Length of Rectangle + Diameter of Circle = x + 2r
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  3. #3
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    Ok...

    Ok....I will go back to the question using your tips to see where that will lead me.
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