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Rectangle Area = 20.7846096908

Simplified / Improved

Side ( Square AEFG ) = 2

X = ACB = 15

Proof that Y = 2 X

Area ( Red Quadrilateral ) = 14

a = C1 = 4.73205080757

Simplified

Orange Area = 90

X = DE = 6.93888666489

X = AO = 3

Blue Area = 89.1148827943