Consider a five$-$sided closed polygon traverse. The azimuth of side AB

is fixed at $2185930$

$.$ A$=1324706$

$,$ B$=1084618$

$,$ C$=1071937$

$,$ D$=815036$

$,$ E$=1091618$

$.($Note: line BC

bears SE$.)$ The lengths of the sides $($in feet$)$ are as follows: AB$=202\mathrm{.}74$

$,$ BC$=283\mathrm{.}87$

$,$ CD$=498\mathrm{.}37$

$,$ DE$=320\mathrm{.}33$

$,$ and EA$=380\mathrm{.}78$

$.$ The coordinates of station A

are X$=20,000\mathrm{.}00$ft

and Y$=15,000\mathrm{.}00$ft

$.$Use the coordinate method to compute the area enclosed by the traverse above