There is a narrow rectangular plot.The length and breadth of the plot are in the ratio of 11:4.At the rate of Rs.100 per meter it will cost village panchayat Rs.75000 to fence tge plot.What are the dimensions of the plot?
1 Answer
Length of the plot is 275 metres
Breadth of the plot is 100 metres
Explanation:
Let the length of the plot in metres be
Let the breadth of the plot in metres be
Given:
Cross multiplying
The perimeter of the plot is
Length of perimeter in metres
Cost of fencing per metre is
Cost for fencing the plot A is
Given:
Amount in rupees is
Equating the cost of fencing the plot to the amount
Perimeter in metres is
Breadth of the plot in metres
Length of the plot is 275 metres
Breadth of the plot is 100 metres