A $4-$m$-$high and $6-$m$-$wide wall consists of a long $18-$cm $30-$cm cross section of horizontal bricks $($k $=0\mathrm{.}72$ W$/$m$$K$)$ separated by $3-$cm$-$thick plaster layers $($k $=0\mathrm{.}22$ W$/$m$$K$).$ There are also $2-$cm$-$thick plaster layers on each side of the wall, and a $2-$cm$-$ thick rigid foam $($k $=0\mathrm{.}026$ W$/$m$$K$)$ on the inner side of the wall. The indoor and the outdoor temperatures are $22$C and $24$C$,$ and the convection heat transfer coefficients on the inner and the outer sides are h$1=10$ W$/$m$2$K and h$2=20$ W$/$m$2$K$,$ respectively. Assuming one$-$dimensional heat transfer and disregarding radiation, determine the rate of heat transfer through the wall. $($Hint: decompose wall based on the dotted lines indicated so that one gets uniform properties$)$