ection 4 - Optimization (you will need a calculator for this problem) . Babette the Builder is constructing a window. The top of the window will be a semicircle and the bottom will be a rectangle. Babette has 12 m of framing material. She hopes to design a window that will let in the most light. a. Using the picture to the right, write an equation for the perimeter of the window. In the context of optimization problems, what does this equation represent? = perimeter P= 12 m = b. Write an equation for the "value" that Babette wishes to optimize. What are the values of r and h (aka the dimensions of the window) th the most light? (round your answers to two decimal places)