Final answer:
The length of the rectangular field is 66.66m.
Step-by-step explanation:
Let's assume that the breadth of the rectangular field is x. According to the given information, the length of the rectangular field is one and a half times its breadth, which means the length is 1.5x.
The perimeter of a rectangle is twice the sum of its length and breadth. So, the perimeter of the field is 2(1.5x + x) = 4.5x.
We know that the thick white line drawn along the edge of the field has a total length of 200m. This is equal to the perimeter of the field, which is 4.5x.
Therefore, 4.5x = 200, and solving for x, we get x = 44.44.
Since the breadth of the field is x, the length of the field is 1.5x = 1.5(44.44) = 66.66m.