Question : The sides of a triangular park are 60 m, 112 m and 164 m. The cost of levelling the park at the rate of INR 8.50/m2 is:
Option 1: INR 18,164
Option 2: INR 17,085
Option 3: INR 17,136
Option 4: INR 18,316
Correct Answer: INR 17,136
Solution : Given: a = 60 m b = 112 m c = 164 m Rate = INR 8.50/m 2 Now, Semi perimeter, $(S) = \frac{60\ +\ 112\ +\ 164 }{2} =\ 168$ Area of the triangle $A\ = \sqrt{168(168\ -\ 60)(168\ -\ 112)(168\ -\ 164)} $ $⇒A\ = \sqrt{168\ \times 108\ \times 56\ \times 4}$ $\therefore A\ = 2016$ m 2 So, the cost of levelling of 2016 m 2 of the park $=\ 8.5\ \times 2016$ $=17136$ Hence, the correct answer is INR 17136.
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