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A Rectangular Plot Measure 125 M by 78 M. It Has 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 M^2` - Mathematics

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Question

A rectangular plot measure 125 m by 78 m. It has 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   m^2` 

Solution

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`

 

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Chapter 17: Perimeter and Areas of Plane Figures - Exercises 2

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RS Aggarwal Mathematics [English] Class 10
Chapter 17 Perimeter and Areas of Plane Figures
Exercises 2 | Q 11

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