If the side of a square is increased by $50 \%$,the percent increase in its area is: (in $\%$)

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

If the area of a triangle with base $x$ is equal to the area of a square with side $x,$ then the altitude of the triangle is

The ratio between the areas of two circles is $4: 7.$ What will be the ratio of their radii?

$A$ 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 $cm^2$?

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