Puzzle of the Week #244 - Three Way Split

Given a unit square it is possible to split it into three equal areas in a number of different ways. For instance cutting off the top third and then the bottom third. Or cutting off the top third then making a vertical cut to divide the remaining part in two. The total cut length of that first option is 2, whereas the total cut length of the second option is only 1+2/3.

Can you find a way of dividing the square into three equal areas, which requires even less total cut length?

cut sq 3.JPG