Question 944172
The sides of square with perimeter=64 m=4(S)=16. Each side of the field is 16 m
The running path adds 3.5 m to each end of the side, making entire area of field and running path 23 meters by 23 meters.  Area of this square (field and path)is 23x23=529 sq meters.  Area of the field only is 16 m x 16 m=256 sq meters.
Area of path and field - area of field = area of path
529 sq meters - 256 sq meters = 273 sq meters ANSWER Area of the path is 273 sq m.