Perimeter of field = 542 yards
Let the width of the field be x.
As given in the question, length of the field is 9 yards less than quadruple the width.
So, length = (4x - 9) yards
We know that perimeter of a rectangle is given as:
Perimeter = 2 (length + width)
542 = 2 (x + 4x - 9)
271 = 5x - 9
5x = 280
x = 280 / 5
x = 56
Hence, width of field = 56 yards
Length of field = 4x - 9
= 4*56 - 9
= 215 yards