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 ...... $m$.

$ABCD$ is a trapezium in which $AB \parallel CD$ and $AB = 2CD$. If its diagonals intersect each other at $O$,the ratio of the area of triangle $AOB$ and $COD$ is

Given that the volume of a metal sphere is $38808 \, cm^{3}$. Then,its radius and its surface area are?

$A$ wire is in the form of a circle of radius $42 \ cm$. It is bent into a square. The side of the square is? (in $cm$)

Find the perimeter of a circular plot which occupies an area of $154 \, m^{2}$ (in $m$).

$A$ garden is $24\, m$ long and $14\, m$ wide. There is a path $1\, m$ wide outside the garden along its sides. If the path is to be constructed with square marble tiles of $20\, cm \times 20\, cm$,then find the number of tiles required to cover the path.