A garden is 90 m long and 75 m broad. A path 5 m wide is to be built outside and around it. Find the area of the path. Also find the area of the garden in hectare.

Question

Philoid · Accepted Answer

It is given in the question that,

Length of garden = 90 m

Breadth of garden = 75 m

We know that,

Area of rectangle = Length × Breadth

∴ Area of garden = 90 × 75

= 6750 m²

From the figure it can be observed that the new length and breadth of the given garden (When path is included) is 100 m and 85 m respectively

∴ Area of garden including path = 100 × 85

= 8500 m²

Area of path = Area of the garden including path – Area of garden

= 8500 – 6750

= 1750 m²

We know that,

1 hectare = 10000 m²

Hence,

Area of garden (In hectares) = 6750/10000

= 0.675 hectare