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.
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?
Hint: 100 ft = Length of Rectangle + Diameter of Circle = x + 2r