If the length of one side and the diagonal of a rectangle are $7 \text{ cm}$ and $25 \text{ cm}$ respectively,then find its perimeter (in $\text{cm}$).

If the area of a square is $50$ $sq$ units,then the area of the circle drawn on its diagonal is

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 ........ $\text{cm}$.

$A$ 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.

The ratio of bases of two triangles is $x: y$ and that of their areas is $a: b$. Then the ratio of their corresponding altitudes will be

$A$ $2 \text{ m}$ 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 $₹$).