Question

A rectangular plot is 75m long and 60m broad.it has a path of width 2m all around it on the inside. Find th are of the path and the cost of constructing it at ₹125 per m square

Answer 1

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

2

Therefore,

Area of path = Area of plot including path − Area of plot only

∴ Area of path =4774−4500=274m

2

Given that cost of constructing path is Rs.125 per square meter.

Therefore,

Cost of constructing path around plot=125×274=Rs.34250.