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