The sides of a triangular field are 165 m, 143 m and 154 m. Find the cost of ploughing it at 50 paise per sq.m.
Answers
Here , the various sides of the triangular field are -
Side 1 => 165 m
Side 2 => 143 m
Side 3 => 154 m
Perimeter of of the given triangular field -
=> [ Sum of all sides ]
=> [ Side 1 + Side 2 + Side 3 ]
=> [ 165 + 143 + 154 ] m
=> 462 m
So , the perimeter of the field is 462 m .
Semiperimeter of the field -
=> 231 m
Area -
=> √ 231 × 66 × 88 × 77
=> √ 103306896
=> 10164 m
Now ,
Cost of ploughing
=> 50 Paisa / metre ²
=> Rs. 0.5 / m ²
Required Cost -
=>Rs. 10164 × 0.5
Rs. 2032 . 8
Thus , the required cost is Rs. 2032.8
______________________
GIVEN :
•The sides of a triangular field are 165 m , 143 m and 154 m.
TO FIND :
•The cost of ploughing it at 50 paise per sq.m .
SOLUTION :
=> Perimeter of triangular field = sum of all sides
=> Perimeter of triangular field =(165 + 143 + 154)m
=> Perimeter of triangular field = 462 m.
Now, we have to find the cost of ploughing ,
=> 50 paisa / metre
=> 50/100 / metre
=>Rs.0.5 / metre
=> Since, Required cost = 462m ×Rs.0.5 / m
=> Required cost = Rs.231 .