A Norman window is composed of a semicircle placed on top of a rectangle. You have 22 ft of framing to form the outer border of the window frame. Let r represent the radius of the semicircle. (a) Determine the dimensions of the rectangular portion of the window in terms of the radius r. length of the horizontal side length of the vertical side (b) Next, determine the total area A(r) of the entire window in terms of the radius r. A(r) =(c) What are the dimensions that maximize the area (in ft) of the whole window? radius of semicircle ft length of the horizontal side of the rectangle ft length of the vertical side of the rectangle ft