Problem $1.$

A closed traverse A$-$B$-$C$-$D has the following balanced latitude and departure of each side. The initial coordinates of station A are $(200ft,800ft.$

$\backslash$table$[[$Side$,$Latitude $($ft$),$Departure $($ft$)],[$AB$,-200,+500],[$BC$,+700,+400],[$CD$,+300,-600],[$DA$,-800,-300]]$

$($a$)$ Draw an approximate diagram of the closed traverse with $x$ and $y-$axis. The $y-$axis is parallel to the meridian north direction.

$($b$)$ Determine the bearing and distance of each side, starting from A and going counter$-$clockwise. Show calculations for each side.

$($c$)$ Determine the coordinates of stations B$,$ C and D$.$ Show calculations for each station.

$($d$)$ Determine the area enclosed by the closed traverse. Draw the diagram showing the process.