$A$ square has an area of $200\, m^2$. $A$ new square is formed such that the length of its diagonal is $\sqrt{2}$ times the diagonal of the given square. What is the area of the new square in $m^2$?

The area of a parallelogram is $240 \, cm^{2}$ and its height is $12 \, cm$. The base of the parallelogram is ........ $cm$.

The area of an equilateral triangle,each of whose sides measures $2 \sqrt{3} \text{ cm}$ is

$A$ square field with side $30\, m$ is surrounded by a path of uniform width. If the area of the path is $256\, m^2$,then its width is ........ $m$.

Find the perimeter of a circular plot which occupies an area of $154 \, m^{2}$ (in $m$).

$A$ rectangular park $60 \, m$ long and $40 \, m$ wide has two concrete crossroads running in the middle of the park, and the rest of the park has been used as a lawn. If the area of the lawn is $2109 \, m^2$, then what is the width of the road? (in $m$)