The side length of the outer square, including the path, is \(50 + 2 \times 2 = 54\) meters. The area of the outer square is \(54^2 = 2916\) square meters. The area of the inner square is \(50^2 = 2500\) square meters. The area of the path is \(2916 - 2500 = 416\) square meters. - Veritas Home Health