A 3m wide path runs outside and around a rectangular park of length 125 m and breadth 65m. Find the are of the path
Answers
Answer:
The area of the path is 1176 m².
Step-by-step explanation:
Width of path = 3m
Length of the park = 125 m
Breadth of the park = 65 m
Area of the path = ??
Area of the path = Area of Park (including path) - Area of the Park
★ Area of the park (including path)
New length = 125 + (2 × 3) = 125 + 6 = 131 m
New breadth = 65 + (2 × 3) = 65 + 6 = 71 m
Area = Length × Breadth
\sf{\longrightarrow} \: 131 \times 71⟶131×71
\sf{\longrightarrow} \:9301 \: {m}^{2}⟶9301m2
★ Area of park
Length = 125 m
Breadth = 65 m
Area = Length × Breadth
\sf{\longrightarrow} \:125 \times 65⟶125×65
\sf{\longrightarrow} \:8125 \: {m}^{2}⟶8125m2
★ Area of path
Area of Park (including path) = 9301 m²
Area of the Park = 8125 m²
\sf{\longrightarrow} \:9301 - 8125⟶9301−8125
\sf{\longrightarrow} \:1176 \: {m}^{2}⟶1176m2
Area of path = 1176 m²
Therefore, the area of the path is 1176 m².