The length and breadth of a rectangular garden are 100 meter and 80 meter respectively. There is a 10 meter wide path surrounding the garden. What is the area of the path?

The length and breadth of a rectangular garden are 100 meter and 80 meter respectively. There is a 10 meter wide path surrounding the garden. What is the area of the path? Correct Answer 4000 sq. meter

Given:

Width of the street = 10 meter

Dimensions of rectangular garden = 100 m × 80 m

Formula used:

Area of rectangle = Length × Breadth

Area of street = Area of larger rectangle (Including path) – Area of smaller rectangle (Only garden)

Calculations:

Shortcut Trick

Area of street = 2w(l + b + 2w)

Where ‘w’ is the width of path and ‘b’ is the width of rectangular garden, ‘l’ is the length of rectangular garden.

So,

Area of path = 2 × 10 × (100 + 80 + 2 × 10)

⇒ 20 × 200

⇒ 4000 m2

∴ The area of the path is 4000 m2.