Since, zzˉ(z2+zˉ2)=350⇒2(x2+y2)(x2−y2)=350⇒(x2+y2)(x2−y2)=175Since, x,y∈I, the only possible case which gives integral solution, isx2+y2=25..(i)x2−y2=7..(ii)​From Eqs. (i) and (ii),x2=16,y2=9⇒x=±4,y=±3∴ Area of rectangle =8×6=48