Use the following information to answer questions 49-51.
In the ellipse shown below, AC is the major axis with length 16 feet, BD is the minor axis with length 12 feet, and E is the center. Point F lies on side BC of the inscribed rhombus ABCD.
49. For any ellipse, the area is πab, where a and b are half the lengths of the major and minor axes, respectively. What is the area, in square feet, of the shaded region (the region outside the rhombus and inside the ellipse)?