Final answer:
The width of the field is 55 yards and the length is 275 yards.
Step-by-step explanation:
To solve this problem, we can set up an equation. Let's say that the width of the field is x yards. Since the length of the field is five times as long as it is wide, we can write the equation: Length = 5x yards.
The perimeter of a rectangle is found by adding up all the sides. In this case, the perimeter is given as 660 yards. We can set up the equation: 2(width) + 2(length) = 660. Substituting the values for width and length, we get: 2(x) + 2(5x) = 660. Simplifying the equation, we get: 12x = 660. Dividing both sides by 12, we get: x = 55.
So, the width of the field is 55 yards and the length is 5 times that, which is 275 yards.