An irregular hexagon with all sides of equal length is placed inside a square of side length \(1\), as shown below (not to scale). What is the length of one of the hexagon sides?

(a) \(\sqrt{2} - 1,\quad\) (b) \(2 - \sqrt{2},\quad\) (c) \(1,\quad\) (d) \(\dfrac{\sqrt{2}}{2},\quad\) (e) \(2 + \sqrt{2}\).