Notice;
Since angle BDC equals angle BAC which are the opposite inscribed angles of quadrilateral ABCD.
And;
CD+BD = 40 units.
It implies;
CD+BD = AC+AB
It also implies that;
Area Triangle BDC = Area Triangle BAC
Therefore;
AC+AB = 40 units.
AC = AB = ½(40)
AC = AB = 20 units.
Area quadrilateral ABCD is;
2(½*20*20)
= 400 square units.
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