To find the length of the diagonal path of a rectangular field, we can use the Pythagorean theorem. Let's denote the length of the rectangular field as "L" and the width as "W." Given: Length of the rectangular field (L) = 30 meters Perimeter of the fence = 140 meters The perimeter of a rectangle is given by the formula: Perimeter = 2(L + W). We're given that the perimeter is 140 meters: 140 = 2(L + W) Now, we can solve for W: 2(L + W) = 140 L + W = 140/2 L + W = 70 We know that L is 30 meters, so we can find W: 30 + W = 70 Subtract 30 from both sides: W = 70 - 30 W = 40 meters Now that we have the length (L = 30 meters) and the width (W = 40 meters), we can use the Pythagorean theorem to find the length of the diagonal path (D): D² = L² + W² D² = (30²) + (40²) D² = 900 + 1600 D² = 2500 Now, take the square root of both sides to find D: D = √2500 D = 50 meters So, the length of the diagonal path of the rectangular field is 50 meters.