The sides of a triangular field are 120 m, 150 m and 200 m. Find the cost of ploughing it at 25 paise per sq. metre.
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Step-by-step explanation:
The sides are: 120 m, 150 m, 200 m
So we need to find the area, ( According to the question )
Perimeter = 120 + 150 + 200 m
= 470 m
Semi perimeter = 470/2 m = 235 m
Area of triangle= √(s-a) (s-b) (s-c)
= √ ( 470 - 120 ) ( 470 - 150 ) ( 470 - 200 )
= √ 350 x 320 x 270
= √ 7 x 5 x 2 x 5 x 2 x 2 x 2 x 2 x 2 x 5 x 2 x 5 x 2 x 3 x 3 x 3
= √ 5^2 x 5^2 x 2^2 x 2^2 x 2^2 x 2^2 x 3^2
= 5 x 5 x 2 x 2 x 2 x 2 x 3
= 1200 sq.m
Cost of polishing 1 sq.km = 25 paise = 0.25 rupees
So, 1200 sq.m = 1200 x 0.25 rupees = 300 Rupees
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