长方形的周长是16cm,它的两边x、y是正整数,且满足x-y-x²+2xy-y²+2=0,求其面积

x-y-x^2+2xy-y^2+2=0化简为(x-y)^2-(x-y)-2=0化简为(x-y-2)(x-y+1)=0所以x-y-2=0 (1)或 x-y+1=0 (2)因为周长为16所以 x+y=8 (3)将(1)(3)联立解得x=5 y=3将(2)(3)联立解得x=7/2 y=9/2因为 x y都是整数所以x=5 y=3所以...