If the ratio of the areas of two squares is $9: 1$,then the ratio of their perimeters is

$A$ rectangular paper,when folded into two congruent parts,has a perimeter of $34\, cm$ for each part when folded along one set of sides and a perimeter of $38\, cm$ when folded along the other set of sides. What is the area of the original paper in $cm^2$?

$A$ $2 \text{ m}$ broad pathway is to be constructed around a rectangular plot on the inside. The area of the plot is $96 \text{ m}^2$. The rate of construction is $₹ 50 / \text{ m}^2$. Find the total cost of construction (in $₹$).

$A$ 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?

The cost of carpeting a room $5 \ m$ wide with carpet at ₹ $3.50$ per $m^2$ is ₹ $105$. The length of the room is ...... $m$.

The side of a square is $22 \, m$. What is the radius of the circle whose circumference is equal to the perimeter of the square? (in $m$)