The area of a rhombus is $150 \, cm^2$. The length of one of its diagonals is $10 \, cm$. The length of the other diagonal is ....... $cm$.

If the length of a rectangle is increased in the ratio $6:7$ and its breadth is diminished in the ratio $5:4$,then its area will be changed in the ratio:

The area of the circle inscribed in an equilateral triangle of side $24 \, cm$ is

If all the sides of a triangle are increased by $200 \%$,then the area of the triangle will increase by (in $\%$):

If the perimeter of an isosceles right triangle is $(6+3 \sqrt{2}) \text{ m}$,then the area of the triangle is ... $\text{m}^2$.

$A$ rectangular garden $63 \ m$ long and $54 \ m$ broad has a path $3 \ m$ wide inside it. Find the cost of paving the path at $Rs. 37/2$ per square metre (in $Rs.$).