Situation $3.$ A surveyor sets up a transit at point $x$ which is in the middle portion of a four$-$sided tract of land to gather some data. His list is as shown below.

Determine the length of side AD

a$.656\mathrm{.}16m$

c$.671\mathrm{.}23m$

b$.589\mathrm{.}12m$

d$.550\mathrm{.}45m$

Determine the bearing of side $CD$

a$.N56{42}^{\text{'}}W$

c$.N81{42}^{\text{'}}W$

b$.S81{42}^{\text{'}}E$

d$.S56{42}^{\text{'}}W$

Determine the area of the land in hectares.

a$.53\mathrm{.}01$

c$.55\mathrm{.}83$

b$.59\mathrm{.}44$

d$.56\mathrm{.}02$