A lawn is in the shape of a rectangle of 80 m length and 50 m width. Outside the lawn there is a footpath of uniform 1 m width bordering the lawn. The area of the footpath is

### Concept & Outer Border Area The area of an outer border is calculated by subtracting the inner geometric area from the expanded overall geometric area. $$ Border Area = (L + 2W)(B + 2W) - (L \times B) $$ ### Step-by-Step Solution * Given rectangular constraints and precise border widths are established. * Secondary boundary dimensions are efficiently computed. * Direct subtraction outputs the final area of 264. ### Exam Strategy & Shortcut Instead of full multiplication, use the specialized border formula: $Area = 2W(L + B + 2W)$. Substituting $W=1$, $L=80$, $B=50$, yields $2(1)(80 + 50 + 2) = 2(132) = 264$. ### Common Pitfall Calculating the outer dimensions by only adding the path width once instead of applying it bidirectionally to both opposite sides. ### Final Answer Therefore, the correct answer is **264 m²**.