Radius of circular grass lawn(without path)=[tex]35 \: cm[/tex]
Radius of circular grass lawn (with path)=[tex]35 \: cm+7 \: cm=42 \: cm[/tex]
Area of circular path=[tex]\pi ( R + r)( R- r)[/tex]
[tex] = \displaystyle{ \frac{22}{7} (42 + 35)(42 - 35)}[/tex]
[tex] = \displaystyle{ \frac{22}{7} \times 77 \times 7}[/tex]
[tex] = \displaystyle{ \frac{22}{ \cancel7} \times \cancel{77} {}^{11} \times 7}[/tex]
[tex] = 22 \times 11 \times 7[/tex]
[tex] = 242 \times 7[/tex]
[tex] = 1649 {cm}^{2} [/tex]
[tex]\boxed{\red{\frak{unic0rntaking0ver}}}[/tex]