The sides of a triangular field are 120 m, 170 m, and 250 m. What is the cost of leveling the field at the rate of Rs. 7.40/m2?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 666000
The per sq meter rate is given, and the area is required to compute the cost of leveling.
Heron’s formula for Area is √(s(s - a)(s - b)(s - c)) where s stands for (a + b + c)/2, wherein a,b and c are the sides.
s = (120 + 170 + 250)/2 = 5402 = 270
Area = √(270 × 150 × 100 × 20)
= 9 × 1000 square meters
At 7.4 / sq.m, the cost is = 9000 × 7.4 = Rs.66600