Perimeter = 346 yard
suppose
Width = x yard
According to Condition.
Length = x + 67 yard
By the Formula
Perimeter = 2*Length + 2*Width
346 = 2*(x + 67) + 2*x
346 = 2*x + 134 + 2*x
346 = 4*x +134
346 - 134 = 4*x
212 = 4*x
x = 212/4
x = 53
Now x = 53, put it into supposed length and width
Width of football field = 53 yard
Length of football field = 53 + 67 = 120 yard
suppose
Width = x yard
According to Condition.
Length = x + 67 yard
By the Formula
Perimeter = 2*Length + 2*Width
346 = 2*(x + 67) + 2*x
346 = 2*x + 134 + 2*x
346 = 4*x +134
346 - 134 = 4*x
212 = 4*x
x = 212/4
x = 53
Now x = 53, put it into supposed length and width
Width of football field = 53 yard
Length of football field = 53 + 67 = 120 yard