If all the sides of a triangle are increased by $200 \%$,then the area of the triangle will increase by (in $\%$):

The area of the circle inscribed in an equilateral triangle of side $24 \, cm$ is

Two sides of a triangular field are $85 \, m$ and $154 \, m$,respectively,and its perimeter is $324 \, m$. The cost of ploughing the field at the rate of ₹ $10$ per $m^2$ is (in ₹):

$3$ horses are tethered at $3$ corners of a triangular plot of land having sides $20 \, m$,$30 \, m$,and $40 \, m$,each with a rope of length $7 \, m$. The area (in $m^2$) of the region of this plot,which can be grazed by the horses,is (Use $\pi = \frac{22}{7}$)

$A$ wire is in the form of a semi-circle of $7 \, cm$ radius. The length of the wire will be (in $cm$):

$A$ lawn is in the form of a triangle having its base and height in the ratio $2:3$. The area of the lawn is $\frac{1}{12}$ hectare. Find the base and height of the lawn.