A rectangular garden has dimensions 11 m x 8 m. A path of 2 m wide has

1.	A rectangular garden has dimensions 11 m x 8 m. A path of 2 m wide has to be constructed along its sides. Find the area of the path.
Answer» Area of the rectangular garden L x B = 11 m x 8 m = 88 m² Length of the inner rectangle L = L – 2 W = 11 – 2(2) = 11 – 4 = 7 m Breadth of the inner rectangle b = B – 2W = 8 – 2(2) = 8 – 4 = 4 m Area of the inner rectangle = l x b sq. units = 7 x 4 m² = 28 m² Area of the path = Area of the outer rectangular garden – Area of the inner rectangle = 88 m² – 28 m² = 60 m² Area of the path = 60 m²

A rectangular garden has dimensions 11 m x 8 m. A path of 2 m wide has to be constructed along its sides. Find the area of the path.

Answer»

Area of the rectangular garden L x B = 11 m x 8 m

= 88 m²

Length of the inner rectangle L = L – 2

W = 11 – 2(2)

= 11 – 4

= 7 m

Breadth of the inner rectangle b = B – 2W

= 8 – 2(2)

= 8 – 4

= 4 m

Area of the inner rectangle = l x b sq. units

= 7 x 4 m²

= 28 m²

Area of the path = Area of the outer rectangular garden – Area of the inner rectangle

= 88 m² – 28 m²

= 60 m²

Area of the path = 60 m²