The length of a rectangular plot is $20 \ m$ more than its breadth. If the cost of fencing the plot at $₹ 26.50/m$ is $₹ 5300$,what is the length of the plot in metres?

Three metal cubes with edges $6\, cm$,$8\, cm$,and $10\, cm$ respectively are melted together and formed into a single cube. Find the side of the resulting cube (in $cm$).

$A$ 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 length and breadth of a rectangular field are in the ratio $5: 3.$ If the cost of cultivating the field at $25$ $paise$ per square metre is ₹ $6000,$ then find the dimensions of the field.

The circumference of a circular field is $440 \, m$. $A$ circular path of $10 \, m$ width runs around the outside of the field. Find the cost of gravelling the path at the rate of $70 \, \text{paise}$ per square metre? (in $Rs.$)

If the length of a rectangle is increased by $10 \%$ and its breadth is decreased by $10 \%,$ then its area