Oops...
corrections:
Δ = x O = y
3x + 2y = 21
x = (21 - 2y) / 3
3y + 2x = 19
3y + 2(21 - 2y) / 3 = 19
y = 3 x = 5
3y = 9
The radius of a circle = 2√54
3y + 2(21 - 2y) / 3
Angle CAM = 24 degrees
e = 35º
f = 55º
g = 55º
h = 125º
The sum of 2 opposite angles in a cyclic quadrilateral is 180º. g + h = 180
∠OVU + ∠h = 180º
Blue circle radius = 0.154700538
Red circle radius = 0.06278172
That's all that I have so far.
A + B + C = 863 A => x B => 4y C => 3y
1/3(A) + 1/3(C) = 863 - 674
x/3 + y = 189
x = 3(189 - y)
x = 567 - 3y
(567 - 3y) + 7y = 863
y = 74
x = 345 This is your answer
Only in the case of a rectangle or a square, AD = EG
Δ HME ≅ Δ EDF
AM = HM = ED = 5
EM = DF = 3
EF = sqrt(ED2 + DF2)
[EFGH] = 34 square units
Plug the values of x, y, and z into this equation: x + y + z = 12