Question on ellipse

A regular pentagon is inscribed in an ellipse with semi major axis 10 units. Then sum of all possible measures of the semi minor acis of the ellipse adds up to.

I don't exactly understand it. How to do?

• If I get the problem correctly, you're expected to determine all possible positions of the pentagon inscribed in an ellipse with semi major axis measure $10$ and for each position find a semi minor axis length. Then sum semi minor axes lengths for all ellipses found. – CiaPan Dec 19 '17 at 16:10
• Of course this could only make sense if the number of possible semi-minor axis values is finite. – hardmath Dec 19 '17 at 16:46