A square footing is to be designed to carry a column load of $500~ \mathrm{kN}$ which is resting on a soil stratum having the following average properties: bulk unit weight $=19 ~\mathrm{kN} / \mathrm{m}^3$; angle of internal friction $=0^{\circ}$ and cohesion $=25 ~ \mathrm{kPa}$. Considering the depth of the footing as $1 \mathrm{~m}$ and adopting Meyerhof's bearing capacity theory with a factor of safety of $3,$ the width of the footing $\text{(in m)}$ is______________ (round off to one decimal place)
[Assume the applicable shape and depth factor values as unity; ground water level at greater depth.]