The given figure shows $4$ identical quadrants in a square. If the area of the shaded part is  $k {\mathrm{cm}}^2$, then find the value of $k$.(Take $\mathrm{\pi }=3.14)$

A sheet of metal has dimensions $56 \mathrm{c}\mathrm{m}$ by $33 \mathrm{c}\mathrm{m}$. It is melted down and recast into discs of the same thickness and radius $7 \mathrm{c}\mathrm{m}$. How many discs will be cast?

The area of two equal circles in the figure is $308 \mathrm{c}{\mathrm{m}}^2$. Find the area of the rectangle in ${\mathrm{cm}}^2$.

The figure given alongside shows two identical semi-circles enclosed in a circle. The diameter of the circle is $28 \mathrm{c}\mathrm{m}$. The distance between the two semi-circles is $8 \mathrm{c}\mathrm{m}$. Find the area of the shaded part in ${\mathrm{cm}}^2$. $\left(\mathrm{T}\mathrm{a}\mathrm{k}\mathrm{e} \mathrm{\pi }=3.14\right)$

A square park has a $3$ $\mathrm{metre}$ wide road inside it running along its sides. The area occupied by the road is $1764$ $\mathrm{square} \mathrm{metres}$. What is the perimeter along the outer edge of the road?

A rectangular field has dimensions $30 \mathrm{m}$ by $12 \mathrm{m}$. Two mutually perpendicular passages of $4 \mathrm{m}$ width have been left in its central part and the grass has been grown in the rest of the field. What is the value of $k$ if the area under the grass is $k {\mathrm{m}}^2$?

A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is $80 \mathrm{m}$, what is the height of the triangle?

The area of a square is $144 \mathrm{c}{\mathrm{m}}^2$, find its perimeter.