Final answer:
Without additional information about the width or length, we cannot determine the exact length of one side of a rectangular playing field with a perimeter of 234 units.
Step-by-step explanation:
To calculate the length of one side of a rectangular playing field when its perimeter is 234 units, we need to use the perimeter formula for a rectangle. The formula is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. However, since we are only given the total perimeter and no other dimensions, we cannot determine the exact length of one side without additional information. Generally, for a rectangle, you would divide the perimeter by 2 and then subtract the width to find the length, or vice versa. The options provided (a) 58.5 units, (b) 65 units, (c) 78 units, and (d) 117 units all assume that the rectangle could possibly be a square or that we know one of the side's lengths. If the playing field were a square, where all sides are equal, we would divide the perimeter by 4 to get the length of a side, which would be 58.5 units. If it were a standard rectangular field with different lengths and widths, we would need more information.