Question

2. A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Findthe area of the path​

Answer 1

$\large\bold{\green{{SOLUTION}}}$

Here,

Area of the path = Area of larger rectangle − Area of smaller rectangle.

Smaller Rectangle:

Length of smaller rectangle = 125 m

Breadth of smaller rectangle = 65 m

Larger Rectangle:

3 m wide path runs all around outside smaller rectangle.

∴ Length of larger rectangle = Length of smaller rectangle + 2 × 3

= 125 + 6 = 131 m

Breadth of larger rectangle = Breadth of smaller rectangle + 2 × 3

= 65 + 6 = 71 m

Smaller rectangle:

Length = l = 125 m , Breadth = b = 65 m

Area of smaller rectangle = l × b = 125 × 65 = 8125 m^2

Larger rectangle:

Length = l = 131 m , Breadth = b = 71 m

Area of larger rectangle = l × b = 131 × 71 = 9301 m^2

Area of the path = Area of larger rectangle − Area of smaller rectangle.

= 9301 − 8125 = 1176 m^2

∴ Area of path is 1176 m^2