A rectangular field is 90m long and 50m wide. Find the cost levelling it at the rate of Rs 5 per square metre
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A rectangular plot of land is 50 m wide. The cost of fencing the plot at the rate of Rs.18 per metre is Rs.4680. Find
(i)the length of the plot.
(ii)the cost of leveling the plot at the rate of Rs.7.6 per m
2
.
Medium
Solution
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Breadth of rectangle 50m
Let length be l
The cost of of fencing 18 per metre
The total cost 4680
Perimeter of Rectangular plot
18
4680
=260
The perimeter is given by 2(l+b)=260
2(l+50)=260
l+50=130
l=80
The length of rectangular plot is 80m
The area of plot is given by lb=(80)(50)
4000m
2
Cost of leveling for 1m
2
is 7.6m
2
Cot of lrvrling for 4000m
2
=4000×7.6=30400Rs.
The cost of leveling is 30400Rs.