Statuary Hall is an elliptical roomin the United States Capitol in Washington, D.C. Theroom is also called the Whispering Gallery because aperson standing at one focus of the room can hear even awhisper spoken by a person standing at the other focus.This occurs because any sound emitted from one focus ofan ellipse reflects off the side of the ellipse to the otherfocus. Statuary Hall is 46 feet wide and 97 feet long.(a) Find an equation that models the shape of the room.(b) How far apart are the two foci?(c) What is the area of the floor of the room? (The areaof an ellipse is A = πab.)

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