∠∠FBC =∠FGN =∠CDE
∴FC/BC=FN/GN=GN/DN
That is, 200/300=X/Y=Y/( 100+X)
By solving the above equation, we can get: X=80, Y= 120.
s 1:s2=(80+ 100)^2: 120^2=9:4