Let the side on the larger square is x and side on the small square is y.Then [tex]x^{2}-y ^{2}=17; 4(x+y)=68 \Rightarrow x+y=17 \Rightarrow (x+y)(x-y)=17 \Rightarrow x-y=1[/tex] [tex]\Rightarrow x=1+y \Rightarrow (1+y) ^{2} -y ^{2} =17 \Leftrightarrow y=8 \Rightarrow x=1+8=9[/tex]