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X = CE = 4

Blue Triangle Area = 288

X = DAE = 45

Simplified by Use of Trigonometry

Green Area / Blue Area = 9 / 4

Proof that Quotient q = 1

Rectangle ABCD Area = 24

Elaborated

X = 40 and X = 146.210409607

CD = 16.9705627485

X = BAD = 24

Pink Triangle Area = 27

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Pink Rectangle Area = 24

X = CD = 19

X = BAD = 36

X = DCE = 20

X = BAC = 80

X = Angle DFE = 45

Line Segment AD = 7

Major Circle Area = 125.663706144

Pink Triangle Area = 10

X = AD = 12

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R = 3.125 = 25 / 8

X = ABC = 30

X = Angle DKF = 90

Red Triangle Area = 4

Pink Area = 15.7079632679

Circle Area = 12.5663706144

Circle Radius R = 2

X = BC = 19

Segment EF = 10

Without Trigonometry

Yellow Square Area = 8

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[ ABC ] = 20 for R = 5

X = BF = 3

X = ABP = CBP = 20

X = ACB = 24

Shaded Triangle Area = 14

Green Area = 26

Circle Perimeter = 20.8206445531

X = BHG = 75

Yellow Square Area = 64

X = 7.07106781187

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Total Area = 100 u ^ 2

X = BAD = 75

Proof that Y = sqrt ( s X )

X = BKC = GKI = 54

X = CAL = 45

Angle BKL = 45

X = CD = 8

X = ACB = 24

Semicircle Area = 353.429173529

X = ABD = 20