If the length and breadth of a rectangular plot are increased by $50 \%$ and $20 \%$ respectively,then the new area is how many times the original area?

$A$ $2 \text{ m}$ 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 $₹$).

If the diagonals of a rhombus are $8$ and $6,$ then the square of its side is

If the base of a parallelogram is $(x+4)$,the altitude to the base is $(x-3)$,and the area is $(x^{2}-4)$,then the actual area is equal to (in $Sq\, units$)

The diameter of a circular wheel is $7\, m$. How many revolutions will it make in travelling $22\, km$?

The sides of a triangle are in the ratio of $\frac{1}{2}: \frac{1}{3}: \frac{1}{4}$. If the perimeter is $52 \text{ cm}$,then the length of the smallest side is ........ $\text{cm}$.