The sides of a triangular park are 32 cm, 16 cm, 24 cm. The cost of levelling the park at the rate of Rs. 8/m2 is (taking \(\sqrt {10}\) = 3.16):
Answer & explanation
Correct answer: option 4
Area of triangle = \(\sqrt {s(s - a) (s - b) (s - c)}\)
s = \(\frac{32 + 16 + 24}{2}\) = 36
Area of triangle = \(\sqrt {36(36 - 32) (36 - 16) (36 - 24)}\)
= \(\sqrt {36 × 4 × 20 × 8}\) = 48\(\sqrt {10}\)
Cost = Area × rate of levelling of triangle
= 48 × 3.16 × 8 = 1,213.44