jugoslav

That doesn't make sense to me whatsoever. The sum of angles X and Z is over 180 

That looks more like this:

Every side is decreased by 400/11%

14 / 22 = 0.636363  or   7/11

x = 15 * 7/11 = 9 ⁶/₁₁

y = 18 * 7/11 = 11 ⁵/₁₁

z = 14 * 7/11 = 8 ¹⁰/₁₁

∠AED = 128 degrees

Inradius     r = 3/2 = 1.5   

Semiperimeter   s = (3x-1)/2

Triangle area     A = r (s)   

r = {sqrt[x²-((x-1)/2)²] *(x-1)/2 } / (3x-1)/2     

x = 3 + √7

I'll let you find the area of  ΔABC 

x + 37 +7x - 9 = 180

8x = 152

x = 19

BE = BC = 8           BD = EF = 2              BG = 5            CH = 4

∠CBE = cos^-1(BG / BE)

∠ABC ≅ ∠ACB = 1/2(180 - ∠CBE)

AB = BH / cos∠ABC  

tan∠EFA = 30 / 18

DG = tan∠EFA  * DF

[DGF] = 30 cm²

or

18 / 30 = 6 / DG

DG = 10

[DGF] = 1/2(10 * 6)

Hope that my diagram will answer your question.

Scale 1 : 1  There are a lot of different methods to calculate CM.

Try these coordinates:   C (0, 0)        M (7, 7)                                                                                                                 

 CM = √98 = 7√2