# 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