A wall measures $(93)m^2$ and it consists of the following layers, the wall has one door and two windows with an area of $1\mathrm{.}8m^2$ and $3\mathrm{.}5m^2,$ respectively.

The wall consists of the following layers:

$(1)$ Hard stone of $70mm$ thickness and $k=1\mathrm{.}7\frac{W}{m}.C.$

$(2)$ Concrete of $200mm$ thickness and $k=1\mathrm{.}75\frac{W}{m}.C.$

$(3)$ Polystyrene of $50mm$ thickness and $k=0\mathrm{.}04\frac{W}{m}.C.$

$(4)$ Plaster of $20mm$ thickness and $k=1\mathrm{.}25\frac{W}{m}.C.$

and the inside and outside heat transfer coefficients are $8\mathrm{.}5$ and $30\frac{W}{m^2}.C,$ respectively.

The inside and outside air temperatures are $22C$ and $10C,$ respectively.

$(1)$ Calculate the following:

$($a$)$ Heat loss through the wall

$($disregard the heat loss through windows and door$)$