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Blue Triangle Area = 18

Shaded Area = 2

BE / BF = ϕ = 1.61803398875

Proof: a / b = 1.61803398875

Square ABCD Area = 64

X = BM = 5

Ratio of X / Y = 1.61803398875

Semicircle Area = 0.539012084453

X = BDC = 105

X = CAD = 40