Answer:
Let's say the width of the field is "x" yards. According to the information given, the length would be "2x - 7" yards. The perimeter of the field is 244 yards, so we can set up an equation:
2(x + 2x - 7) = 244
Simplify the equation and solve for x.
6x - 14 = 244
Adding 14 to both sides of the equation:
6x = 258
Finally, divide both sides of the equation by 6:
x = 43
So the width of the field is 43 yards. To find the length, we can substitute this value back into the expression for the length:
Length = 2x - 7
Length = 2(43) - 7
Length = 86 - 7
Length = 79
Therefore, the dimensions of the playing field are 43 yards by 79 yards.