1.

The perimeter of a triangular field is 540 m and its sides are in the ratio `25: 17:12`. Find the area of the triangle. Also, find the cost ploughing the field at `Rs. 18.80` per `10 m^2`

Answer» perimeter =540m
25x+17x+12x=540m
54x=540m
x=10m
sides of triangle are
25x=250m
17x=170m
12x=120m
S=250+170+120/2=270
area of triangle=`sqrt(s(s-a)(s-b)(s-c))`
`=sqrt(270(270-250)(270-170)(270-120))`
=9000`m^2`
cost
10`m^2`=18.80Rs
1`m^2`=1.880Rs
9000`m^2`=9000*1.880=16920Rs.


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