Construct a Window in the Shape of a Semicircle Over

Multiple Choice

Construct a window in the shape of a semicircle over a rectangle. If the distance around the outside of the window is 8 metres, what dimensions for the rectangle will result in the rectangle having the largest possible area?

A) 1.56 m wide and 2 m tall
B) 1.12 m wide and 2 m tall
C) 2 m wide and 1.5 m tall
D) 1.56 m wide and 1.56 m tall
E) 2 m wide and 1.12 m tall