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:

The area of an equilateral triangle is $9 \sqrt{3} \ m^{2}$. The length (in $m$) of the median is

The area of the floor of a rectangular hall of length $40\, m$ is $960\, m^{2}$. Carpets of size $6\, m \times 4\, m$ are available. How many carpets are required to cover the hall?

The area of a square field is $69696 \text{ cm}^2$. Its diagonal will be equal to (in $\text{cm}$) (in $.296$)

The area of a square is $1024\, cm^2$. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is $12\, cm$ less than the side of this square?