Question

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

Answer 1

Length (l) of garden = 90 m

Breadth (b) of garden = 75 m

Area of garden = l × b = 90 × 75 = 6750 m²

From the figure, it can be observed that the new length and breadth of the garden, when path is also included, are 100m and 85m respectively.

Area of the garden including the path = 100 × 85 = 8500 m²

Area of path = Area of the garden including the path − Area of garden

= 8500 − 6750 = 1750 m²

1 hectare = 10000 m²

Therefore, area of garden in hectare = 6750/10000 = 0.675 hectare