What will be the cost of gardening a $1 \text{ m}$ broad boundary around a rectangular plot having a perimeter of $340 \text{ m}$ at the rate of $₹ 10$ per square metre?

The area of a square is $1024\, cm^2$. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is $12\, cm$ less than the side of this square?

$A$ rectangular plot has a concrete path running in the middle of the plot parallel to the breadth of the plot. The rest of the plot is used as a lawn,which has an area of $240 \, m^2$. If the width of the path is $3 \, m$ and the length of the path is greater than its breadth by $2 \, m$,what is the area of the rectangular plot (in $m^2$)?

The sides of a triangle are $50 \, cm$,$78 \, cm$,and $112 \, cm$. The smallest altitude is $........... \, cm$.

If the circumference and the area of a circle are numerically equal,then the diameter is equal to

The ratio of length and breadth of a rectangular plot is $8:5$ respectively. If the breadth is $60\, m$ less than the length,what is the perimeter of the rectangular plot? (in $m$)