Final answer:
To find the length and width of the rectangle, we need to set up an equation using the given information. Solving the equation, we find that the length of the rectangle is 123 meters and the width is 60 meters.
Step-by-step explanation:
Let's assume that the width of the rectangle is x meters. According to the given information, the length of the rectangle is 3 more than twice its width. Therefore, the length can be represented as 2x + 3 meters.
The perimeter of a rectangle can be calculated by adding all four sides. So, 2(width) + 2(length) = 366 meters. Substituting the values, we get 2x + 2(2x + 3) = 366.
Simplifying the equation, we have 6x + 6 = 366. Solving for x, we get x = 60. Substituting this value back into the equation for the length, we find that the length is 2(60) + 3 = 123 meters.
Therefore, the length of the rectangle is 123 meters and the width is 60 meters.