What is the perimeter of an equilateral triangle whose area is $4 \sqrt{3} \text{ cm}^2$?

The two adjacent sides of a parallelogram are $60 \, m$ and $40 \, m$ and one of the diagonals is $80 \, m$ long. The area of the parallelogram is

The length of a rectangular hall is $5\, m$ more than its breadth. The area of the hall is $750\, m^{2}$. The length of the hall is.........$m$

The volume of a cube is $216 \, cm^3$. Part of this cube is then melted to form a cylinder of length $8 \, cm$. Find the volume of the cylinder (in $cm^3$)?

Two roads $XY$ and $YZ$ of $15 \ m$ and $20 \ m$ length respectively are perpendicular to each other. What is the distance between $X$ and $Z$ by the shortest route? (in $m$)

If the area of a square is equal to the area of a rectangle $6.4 \, m$ long and $2.5 \, m$ wide,then each side of the square measures (in $m$)