Consider a five$-$sided closed polygon traverse. 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$.$

Compute the area enclosed by the traverse above using DMDs$.$

Express your answer in feet squared to five significant figures.

Note: Traverse does not need to be adjusted to determine the correct answer.