Find the cost of leveling the ground in the from of a triangle having Its side as 70 cm, 50
cm, and 60 cm, at rs 7 per square meter.
please tell correct answer.
Answers
Answer:
The cost of levelling the triangular ground at the rate of Rs. 8 per metre square is Rs. 48.
Explanation:-
Given :
Sides of triangle = 40 cm, 90 cm and 70 cm
Solution :
From the following sides, we know that the formed triangle is a scalene triangle.
Perimeter of the triangle => (40 + 90 + 70) cm = 200 cm
Therefore, Semi-perimeter=> Perimeter/2 = 200/2 = 100 cm
Now, As we know that:-
Area of the triangle= √s(s-a)(s-b)(s-c)
(Where a,b and c are the sides of the triangle)
= √100(100 - 90)(100 - 70)(100 - 40) cm²
= √100 × 10 × 30 × 60 cm²
= √10 × 10 × 2 × 5 × 3 × 5 × 2 × 3 × 2 × 5 × 2 cm²
= 10 × 2 × 5 × 3 × 2 cm²
= 600 cm²
Hence, the area of the triangle is 600 cm².
Converting the area into metres => 600/100 = 6 cm²
Cost of levelling the ground at Rs. 8 per metre square => Rs.(6 × 8) = Rs.48