The inner circumference of the circular track is $220 \mathrm{m}$. The track is $7 \mathrm{m}$ wide everywhere. If the cost of putting up fence along the outer circle at the rate of $₹2$ per metre is $₹x$, then find the value of $x$.

From the semicircular region $\mathrm{OABCD}$, a $△\mathrm{ABD}$ in which $\mathrm{AB}=3 \mathrm{cm}$ and $\mathrm{BD}=4 \mathrm{cm}$. Find the perimeter of the remaining figure.

In figure, a parallelogram is drawn in a trapezium. The area of the parallelogram is $390 {\mathrm{cm}}^2$. If the area of the trapezium is $k {\mathrm{cm}}^2$, find the value of $k$.

In figure, $\mathrm{AB}\parallel \mathrm{DC}$ and $\mathrm{DA}\perp \mathrm{AB}$. If $\mathrm{DC}=7 \mathrm{cm}, \mathrm{CB}=10 \mathrm{cm}$ and $\mathrm{AB}=13 \mathrm{cm}$. The area of the quadrilateral $\mathrm{ABCD}$ is $k {\mathrm{cm}}^2$. Find $k$.