P₁ - pole pierwszej figury
P₂ - pole drugiej figury
P₁ + P₂ = 240
skala podobieństwa: k = ²/₃
P₁ = x
P₂ = 240 - x
[tex]k^2=\frac{P_1}{P_2}\\\\(\frac23)^2=\frac{x}{240-x}\\\\\frac49=\frac{x}{240-x}\\\\9\ \cdot\ x=4\ \cdot\ (240-x)\\\\9x=960-4x\\\\9x+4x=960\\\\13x=960\ /\ : 13\\\\x=73\frac{11}{960}[/tex]
[tex]P_1=73\frac{11}{960}\\\\P_2=240-73\frac{11}{960}=166\frac{949}{960}[/tex]
