Let the width of the the walkway be x
Area of the outer rectangle will be (60+2*x) * (20+2*x)....(As length and width will get increased by 2*x)
Area of inner rectangle =60*20=1200
(60+2*x) * (20+2*x) -1200=516
(60+2*x) * (20+2*x) =1716
x2 + 40*x -129=0
Rejecting the negative value ,we get x=3
So answer is 3