Sir Mike Ambrose is the author of the question.
Area blue exactly is square units decimal form is;
½(Area triangle with height (2√(2)+2√(2+√(3))) units and base 12.9282032303sin75 units - Area triangle with height 2 units and base (2sin150) units - Area trapezoid with two parallel side (2√(2)+2√(2+√(3))) units and (2√(2+√(3))) units, and height √(2) units)
=½((0.5*(2√(2)+2√(2+√(3)))*12.9282032303sin75) - (0.5*2*2sin150) - (0.5*√(2)((2√(2)+2√(2+√(3)))+(2√(2+√(3)))))
= ½(41.7846096909 - 1 - 7.46410161514)
= ½(33.3205080758)
= 16.6602540379 square units.
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