Area of the rectangular field = 54 x 35 = 1890 sq m
Let the width of the path be x m. The path is shown in the following diagram:
Length of the park excluding the path = (54 -2x) m
Breadth of the park excluding the path = (35 -2x) m
Thus, we have:
Area of the path = 420 sq m
The width of the path cannot be more than the breath of the rectangular field.
x = 2.5 m
Thus, the path is 2.5 m wide.