A rectangular brass sheet has dimensions of $350$ mm by $450$ mm at $10$C$.$ The coefficient of linear expansion is $2010/$C$.$ The sheet temperature is then raised to $120$ C$.$ Determine the following: $1\mathrm{.}2\mathrm{.}1$ The area coefficient of expansion $(1)1\mathrm{.}2\mathrm{.}2$ The increase in area in m$^2$ at $120$C $(3)1\mathrm{.}2\mathrm{.}3$ The dimesions at $120$C $(6)$