Question

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

Answer 1

Area of the rectangular garden L × B

= 11 m × 8 m

= 88 m²

Length of the inner rectangle L

= L – 2W

= 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 × b sq.units

= 7 × 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