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[ CDE ] = 45

X = CGH = BCG = 30

Square ABCD Area = 400

X = Angle CGE = 78

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X = AC = 3

Line Segment AB = 9.79795897113

Yellow Area = 36.1911473694

Alpha = 10

X = 23.826770583

Circle Area = 30.6796157577

[ ABC ] : [ GHK ] = 7

[ FHTUV ] : [ ABCDE ] = 1 / 16

Mathematical Proof

Green Area - Red Area = 3

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X = BF = 13

X = ABC = 30

BN : CN = 1

X = BDE = 30

[ Yellow Triangle ] = [ ABC ] = 125

[ Green Triangle ] = [ ABCO ] = 11

[ BCD ] / [ ACD ] = 25 / 9

0 < Shaded Area ≤ 24.1867732449

Solution = 18

Blue Circle Radius = 12 / 7

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Green Area = [ ADE ] = 10

X = Radius R = 4

X = ADB = 30

Radius R = 5

X = AD = 6

X = AD = 6

Shaded Area = 6.99152341907

X = AFD = 75

Angle X = 18

Radius R = 17 /2 = 8.5

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EG / CF = 0.366025403784

Pink Area = [ AEL ] = [ CDL ] = 1

Shaded Area = 23 / 2 = 11.5

X = CF = 6

Shaded Area = [ DKG ] = 2

Red Square Area = 484

X = ADE = 40

Circle Radius R = 7

Alpha = CAD = 45 / 3 = 15

[ Blue Pentagon ] = 43.0119350147

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Red Triangle Area

Shaded Area = 7.42477796077

Circle Radius = 1.96152422707

NEW / IMPROVED

Mathematical Proof : a + 2 b = c

Ratio of Y to X = 4

Shaded Area = [ BCE ] = 3

0 < Green Fraction ≤ 2 / 3

Square Area = [ ABCD ] = 25

X = ADC = 120.274499325

X = 20