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

Area of original garden =90×75=6750 m  

2

 

After path is added around rectangle, new length =90+2×5=100 m

New breadth =75+2×5=85 m

Area of rectangle with path =100×85=8500 m  

2

 

So,

Area of path = Area of rectangle with path − Area of rectangle without path

Area of path =8500−6750

                     =1750 m  

2

 

We know,  

1 m  

2

=0.0001 hectare

So,

6750 m  

2

=6750×0.0001

               =0.675 hectare

Hence area of ground =6750 m  

2

=0.675 hectares