Homework Questions

3. Mikasa is designing a new home and wants to put in a Norman window, which is window in the shape of a rectangle with a semi-circle on top. She wants to use 10m of window casing for the perimeter of the window. The perimeter of the window is given by equation, P = 2x + 2r + mr, in which x is the height of the rectangular portion of the window in metres, and r is the radius of the semicircle in metres. a) What is the area formula for the window? [1A] b) What radius will yield a window with a maximum area? [3A]