For the shown two$-$way slab, the slab thickness is $200$ mm$,$ the beams are $400500$ mm$,$ and the columns are $400400$ mm$.$ The concrete cover is $30$ mm$.$ The unfactored floor load $($NOT including self$-$weight$)$ is $1\mathrm{.}5$ kPa, and the live load is $2\mathrm{.}5$ kPa. $1.$ Check the adequacy of the slab thickness $($do NOT change the slab thickness if it is not adequate$).2.$ Design the slab in the N$-$W direction considering axis B$.3.$ Design the slab in the E$-$W direction considering axis $2.$ Notes: $$ Consider the N$-$S slab reinforcement to be placed below the E$-$W reinforcement. $$ Use $15$M reinforcement. $$ Assume any missing data. Material Properties: fy $=400$ MPa fc $=35$ MPa