Design an isolated footing for a rectangular column $(0\mathrm{.}25$ x $0\mathrm{.}8$ m$)$ that carries unfactored dead of $900$ and unfactored live load of $500,$ respectively. Design data : Allowable soil pressure $150$ kN$/$ m$^2(1\mathrm{.}50$ kg$/$cm$^2)$ f cu $=30$ N$/$mm$^2($reinforced concrete$)$ f$\_\{$m$\}=20$N $/$ m $*$ m $^2($plain concrete$)$ f$\_\{$y$\}=360$N $/$ m $*$ m $^2$