If the height of an equilateral triangle is $2 \sqrt{3} \text{ cm}$,then the length of its side is ...... $\text{cm}$.

$A$ figure consists of a square of side '$a$' $m$ with semi-circles drawn on the outside of the square. The area (in $m^{2}$) of the figure so formed will be

The length of a rectangle is increased by $33.33 \%$. By what percent should the width be decreased to maintain the same area? (in $\%$)

The length of a rectangular room is $4\, m.$ If it can be partitioned into two equal square rooms,what is the length of the partition in metres?

$A$ rectangular carpet has an area of $60 \, m^{2}$. Its diagonal and longer side together equal $5$ times the shorter side. The length of the carpet is.........$m$

$A$ can go round a circular path $8$ times in $40$ minutes. If the diameter of the circle is increased to $10$ times the original diameter,then the time required by $A$ to go round the new path once,travelling at the same speed as before,is (in $min$)