Question

11. A rectangular field has a path 5 m wide running round it. If the rectangle formed by the
path and the field is 200 m x 60 m, find
(i) the area of the path​
(ii)the cost of constructing the path at Rs 15 per metre square

Answer 1

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Given:

Length of the field=200m

Width of the field=60m

Length of the field with path

=(200+5+5)m=210m

Width of the field with path

=(60+5+5)m=70m

Area of field

=Length×Width=200×60=12000m2

Area of the field with path= Length×Width=210×70=14700m2

Now, area of the path=Area of the field with path−Area of field

=(14700−12000)m2=2700m2

Cost of consructing 1m2 of path=Rs15

Cost of cnstructing 2700m2 of path

=Rs15×2700=Rs40500

${\huge{\fcolorbox{black}{WHITE}{♡Itz \: AISH♡}}}$