$A$ 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 ........ $m$.

$A$ piece of wire $132 \, cm$ long is bent successively in the shapes of an equilateral triangle,a square,a regular hexagon,and a circle. Then,which has the largest surface area?

Perimeter of a rhombus is $2p$ units and the sum of the lengths of its diagonals is $m$ units,then the area of the rhombus is

$A$ lawn in the form of a rectangle has a length twice its width. The area of the lawn is $\frac{2}{3}$ hectares. The length of the lawn is:

If an equilateral triangle of area $X$ and a square of area $Y$ have the same perimeter,then $X$ is

In $\triangle ABC$,$\angle A = 90^{\circ}$ and $AD \perp BC$,where $D$ lies on $BC$. If $BC = 8 \ cm$ and $AC = 6 \ cm$,then the ratio of the area of $\triangle ABC$ to the area of $\triangle ACD$ is: