On a map drawn to a scale of $1: 50,000$, a rectangular plot of land $\text{ABCD}$ has the following dimensions. $AB=6\,\text{cm} ; BC=8\,\text{cm}$ and all angles are right angles. Find:(i) the actual length of the diagonal distance $AC$ of the plot in $\text{km}$.(ii) the actual area of the plot in sq km.