Area of park \\\\(=l \ imes b= 45 \ imes 30=1350\\ cm^2\\\\)Area of park with path is \\\\(=45+2.5+2.5 \ imes 30+2.5+2.5 = 1750\\ cm^2\\\\)Therefore,Area of path \\\\(=\\\\) Area of park with path \\\\(-\\\\) Area of rectangular park \\\\(= 1750-1350=400\\ cm^2\\\\)Hence, this is the answer.