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 a square is $1444 \ m^2$. The breadth of a rectangle is $\frac{1}{4}$ of the side of the square and the length of the rectangle is thrice its breadth. What is the difference between the area of the square and the area of the rectangle? (in $m^2$)

The area of a square is $196 \, cm^2$. Its side is half the radius of a circle. The circumference of the circle is equal to the breadth of a rectangle. If the perimeter of the rectangle is $712 \, cm$,what is the length of the rectangle? (in $cm$)

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

Length of a rectangle is twice of its breadth. Area of the rectangle is $18 \, m^{2}$. What would be its perimeter? (in $m$)

The diameters of two concentric circles are $8\, cm$ and $10\, cm$. The area of the region between them is