Jorge is creating a stained glass art work. Part of his design is made up of four half-ellipses. Each half-ellipse is four times as long as each short half-ellipse, and for each half-ellipse, the length is twice the width.
He wants to find a simplified expression for the approximate perimeter of the figure
using the formula C = 2π a2+b2, where C is the circumference of an ellipse, a is half
2
of one axis, and b is half of the other axis. What is the simplified expression?