There are some people on here that have much more technical knowledge about this, but just from the words of the text you are asking about it seems that they are saying that the wing can be built "fatter" (i.e. the distance vertically from top of wing surface to bottom of wing) when the chord (distance from leading edge to trailing edge) is increased.
The wing root chord, is simply the chord (distance from leading edge to trailing edge) at the root of the wing (where it connects to the fuselage).
It seems to make sense that being able to build a fatter wing where it has the highest stress would be beneficial for improving structural strength....