A rectangular 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
Answers
Step-by-step explanation:
area of plot = 75*60=4500m^2
length of plot including path = 75+2= 77m
breadth of plot including path= 60+2 = 62m
area of plot including path = 77*62 = 4774 m^2
area of path= area of path including road- area of plot
= 4774-4500
= 274m^2
cost of construction per m^2= ₹125
cost of construction of path = ₹ 125*274
= ₹34250
Length of plot =75m
Breadth of plot =60m
Area of plot =l×b
=75×60=4500 sq.m
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=4774 sq.m
Therefore,
Area of path = Area of plot including path − Area of plot only
∴ Area of path =4774−4500=274 sq.m
Given that cost of constructing path is Rs.125 per square meter.
Therefore,
Cost of constructing path around plot=125×274=Rs.34250.