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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- Jul 30th 2008, 05:20 AMmagentaritaFind 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.

- Jul 30th 2008, 05:38 AMTKHunny
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 - Jul 30th 2008, 01:21 PMmagentaritaOk...
Ok....I will go back to the question using your tips to see where that will lead me.