The area of a rectangular field is $27000 \, m^2$. The ratio of its length and breadth is $6:5$. The length and breadth of the field are respectively:

$A$ 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?

The areas of a square and a rectangle are equal. The length of the rectangle is greater than the side of the square by $5 \text{ cm}$ and the breadth is less than the side of the square by $3 \text{ cm}$. Find the perimeter of the rectangle (in $\text{cm}$).

$A$ rectangular carpet has an area of $120 \, m^{2}$ and a perimeter of $46 \, m$. The length of its diagonal is ...... $m$.

The percentage increase in the area of a rectangle,if each of its sides is increased by $20 \%$,is.........$\%$

$A$ square sheet of paper is converted into a cylinder by rolling it along its length. What is the ratio of the base radius of the cylinder to the side of the square?