The length of the major axis of the ellipse below is 12. What is the sum of the lengths of the red and blue line segments?

In an ellipse, the length of the major axis is the distance between the two endpoints of the ellipse along its longest diameter. Since the length of the major axis is given as 12, this means that the total distance covered by the red and blue line segments, which represent the distances from the center to each endpoint of the major axis, will also sum up to 12. Therefore, the sum of the lengths of the red and blue line segments is 12.