Read the connection below about the reflection property of an ellipse. If a room is constructed in the shape of an ellipse, and you stand at one focus and speak softly, a person standing at the other focus will hear you clearly. Such rooms are often called whispering chambers. Consider a whispering chamber that is 12 m long and 6 m wide.

a. Where should two whisperers stand to talk to each other?
b. How far does the sound travel from one person to the other, bouncing off the wall in between?