4. Consider the ellipse 1, a + b = 20. a. The formula for the area of an ellipse is A=nab Using a + b = 20 write the area of the ellipse as a function of a by solving for a and then plugging in your results into the formula for the area of an ellipse to replace b. b. Find the equation of the ellipse with a horizontal major axis and an area of exactly 264 square centimeters. (*Make sure to use the equation found in Part A to help solve the problem. The final answer will be in the form ~ + * + * = 1). c. Complete the table using your equation from part (a), and make a conjecture about the shape of the ellipse with maximum area. Top row will be an exact answer and the bottom row will be your approximate answer. The first one is done for you. a 8 9 10 11 12 13 A 96 n A 301.6