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?

The perimeter of a right-angled triangle is $90\, cm$ and its hypotenuse is $39\, cm$. Find its other sides.

The ratio of the $3$ angles of a quadrilateral is $13: 9: 5$. The value of the $4^{th}$ angle of the quadrilateral is $36^{\circ}$. What is the difference between the largest and the second smallest angles of the quadrilateral? (in $^{\circ}$)

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

The dimensions of the floor of a rectangular hall are $4\, m \times 3\, m$. The floor of the hall is to be tiled fully with $8\, cm \times 6\, cm$ rectangular tiles without breaking the tiles into smaller sizes. The number of tiles required is:

In $\Delta ABC$ and $\Delta PQR$,$\angle B = \angle Q$ and $\angle C = \angle R$. $M$ is the mid-point of side $QR$. If $AB : PQ = 7 : 4$,then $\frac{\text{area}(\Delta ABC)}{\text{area}(\Delta PMR)}$ is: