Question

The cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of Rs $3$ per $m^2$ is

• A. Rs. 918
• B. Rs. 818
• C. Rs. 718
• D. Rs. 618

Answer 1

Answer: (A)

Rs. 918

$s=\frac{51+37+20}{2}=\frac{108}{2}=54$
Area of the triangle$=\sqrt{54(54-51)(54-37)(54-20)}$
$=\sqrt{54\left(3\right)\left(17\right)\left(34\right)}=\sqrt{93636}$
Area $=$ $306m^2$.
Cost of levelling at $Rs.3$ per $m^2=306\left(3\right)=$Rs. $918$