EXERCISE 20B 1. A rectangular grassy plot is 75 m long and 60 m broad. It has a path of width 2 m all around it on the inside. Find the area of the path and the cost of constructing it at 125 per m². uniform width
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Answer:
Length of plot =75m
Breadth of plot =60m
Area of plot =l×b
=75×60=4500m
2
Now,
Width of path =2m
Therefore,
Length of plot including path =75+2=77m
Breadth of plot including plot =60+2=62m
Therefore,
Area of plot including plot =77×62=4774m
Therefore,
Area of path = Area of plot including path − Area of plot only
∴ Area of path =4774−4500=274m
Given that cost of constructing path is Rs.125 per square meter.
Therefore,
Cost of constructing path around plot=125×274=Rs.34250.
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