Final answer:
The width of the rectangular field is 25 yards and the length is 100 yards.
Step-by-step explanation:
Let's represent the width of the rectangular field as x. According to the problem, the length of the field is four times its width, so the length would be 4x.
The perimeter of a rectangle is found by adding up all its sides. In this case, the perimeter is given as 250 yards. So we can set up the equation: 2x + 2(4x) = 250
Simplifying the equation, we get 10x = 250. Dividing both sides by 10, we find that x = 25.
Therefore, the width of the rectangular field is 25 yards, and the length is 4 times that, which is 100 yards.