$A$ man walked diagonally across a square plot. Approximately what was the percent saved by not walking along the edges?

What would be the cost of laying a carpet on a floor which has its length and breadth in the respective ratio of $32:21$ and where its perimeter is $212$ feet,if the cost per square foot of laying the carpet is $₹ 2.5$?

$A$ circle and a rectangle have the same perimeter. The sides of the rectangle are $18 \, cm$ and $26 \, cm$. What is the area of the circle? (in $cm^2$)

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

The ratio of the area of a sector of a circle to the area of the circle is $1:4$. If the area of the circle is $154 \, cm^2$,the perimeter of the sector is ........ $cm$.

If every side of a triangle is doubled,the area of the new triangle is $K$ times the area of the old one. $K$ is equal to