Question

A rectangular plot measures 125 m by 78 m. It has a gravel path 3 m wide all around on the outside. Find the area of the path and the cost of gravelling it at ₹ 75 per m². 

Answer 1

The plot with the gravel path is shown in the figure. 

 

Area of the rectangular plot=`lxxb` 

Area of the rectangular plot=`125xx78=9750m^2` 

Length of the park including the path=`125+6=131m` 

Breadth of the park including the path=`78+6=84`

Area of the plot including the path

=`131xx84`

=`11004m^2` 

Area of the path=`11004-9750` 

=`1254m^2` 

Cost of gravelling `1m^2` of the path =Rs 75 

Cost of gravelling`1254 m^2` of the path=`1254xx75` 

=Rs `94050`