James walks along the route ABCD, walking a total of 38 m. Nadia walks a total of 31m along the route BCDA. What is the perimeter of the rectangular park?

meters

James walks 2 × length + 1 × width of the rectangle, while Nadia walks 2 × width plus 1 × length of the rectangle. If we add their walking distances, it represents (2 + 1) = 3 × length plus (1 + 2) = 3 × width of the rectangle. Thus, (31 + 38) = 69 = 3 × (length + width) . The perimeter is 2 times the sum of the length and width of the park so we divide by 3 and multiply by 2 to get the perimeter of the park to be 69 ÷ 3 × 2 = 46 m.