Answer:
Width of field = 50 yards
Length of Yards = 106 yards
Explanation:
Let the width of field be x yards
given that "The length of a new rectangular playing field is 6 yards longer than double the width"
Length of Yards= 2*width of field + 6 = 2x+6 yards
perimeter of the rectangular playing field = 312 yards
We know that perimeter of rectangle is given by 2(length + width ).
Since field is rectangular then
2(length + width ) = 312
2(x+2x+6) = 312
=> 3x+6 = 312/2 = 156
=> 3x = 156 - 6 = 150
=> x = 150/3 = 50
Thus,
Width of field is x = 50 yards
Length of Yards= 2x+6 yards = 2*50+6 yards = 106 yards