Calculate outer area

The outer rectangle is the field itself. $Area_{outer} = length \times breadth = 50 \times 42$

$Area_{outer} = 2100 m^2$

Calculate inner dimensions

Since the path of width 6 m is inside, we subtract twice the width from both length and breadth: $length_{inner} = 50 - (2 \times 6) = 38$, $breadth_{inner} = 42 - (2 \times 6) = 30$

$38 m, 30 m$

Calculate inner area

The area of the lawn inside is: $Area_{inner} = 38 \times 30$

$Area_{inner} = 1140 m^2$

Calculate path area

The area of the gravel path is the difference between the outer and inner areas: $\text{Area} = 2100 - 1140$

$\text{Area} = 960 m^2$