Top 10.824

Yellow Area = 31.304951685

Pink Fraction = 0.269230769231

Green Area = 1

Hexagon Area = 18.1865334795

Square Area = ( 4 X ) ^ 2

Isosceles Trapezoid Area = 125

Triangle ACD = 20.3331625676

Ratio of a / b = 2

Regular Hexagon Fraction = 1 / 3

CE = 1.41421356237

Top 10.823

b / a = 1.49534878122

Rectangle Area = 30

Red Area = 25.7142857143

Angle AED = 135

Yellow / Shaded = 5 / 14

Blue Area = 10

X = CE = 2.41421356237

Shaded Area = 93.5200366227

Semicircle Area = 1.57079632679

Shaded Area = 5.70796326795

Top 10.822

X = BC = 5.04456728032

ABC = 30

Green Area = 6.21747704247

Angle CBD = 75

R = 1.14782848556

BAC = 15

X = CG = 10

CE = 8.48528137424

Orange Area = 23.5677492567

Proof that a / b = ½ √ 2

Top 10.821

Pink Area = 153.938040026

Orange Triangle Area = 5

a + b = 19.7989898732

Purple Fraction = 15 / 22

X = 4.472135955

Radius R = 3.125

X = BD = 2

Shaded Area = 15.9469752676

Proof that BE = CF

X = EF = 5.33333333333

Top 10.820

X = AD = 1

Yellow Area = 20

Another Approach

X = CE = 8

R = 17.6776695297

Green = 17.6776695297

Radius R = 16

Yellow Area = 16

Orange Area = 58.2272579148

Shaded Area = 13.291059204

Blue Square Area = 2