Question

A 3m wide path runs outside around a rectangular park of dimensions 125 m by 65 m find the area of path

Answer 1

area of path=125+3*2*65+3*2-125*65
=125+6*65+6-125*65
=131*71-125*65
=9301-8125=1176m^2.

Answer 2

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

$\sf{\longrightarrow} \: 131 \times 71$

$\sf{\longrightarrow} \:9301 \: {m}^{2}$

★ Area of park

Length = 125 m

Breadth = 65 m

Area = Length × Breadth

$\sf{\longrightarrow} \:125 \times 65$

$\sf{\longrightarrow} \:8125 \: {m}^{2}$

★ Area of path

Area of Park (including path) = 9301 m²

Area of the Park = 8125 m²

$\sf{\longrightarrow} \:9301 - 8125$

$\sf{\longrightarrow} \:1176 \: {m}^{2}$

Area of path = 1176 m²

Therefore, the area of the path is 1176 m².