The sides of a triangle are in the ratio $\frac{1}{4}: \frac{1}{6}: \frac{1}{8}$ and its perimeter is $91\, cm$. The difference of the length of the longest side and that of the shortest side is

The perimeters of five squares are $24 \ cm$,$32 \ cm$,$40 \ cm$,$76 \ cm$,and $80 \ cm$ respectively. The perimeter of another square equal in area to the sum of the areas of these squares is $...... \ cm$.

If the length and breadth of a rectangular plot are increased by $50 \%$ and $20 \%$ respectively,then the new area is how many times the original area?

The length of a rectangle is increased by $60 \%$. By what percent would the width have to be decreased to maintain the same area? (in $\%$)

Find the perimeter and area of the shaded portion of the adjoining diagram.

What is the cost of flooring a rectangular hall?
Statements:
$I.$ The length of the rectangle is $6 \ m$.
$II.$ The breadth of the rectangle is $2/3$ of its length.
$III.$ The cost of flooring an area of $1 \ m^2$ is ₹ $4500$. (Note: Corrected unit/value for logical consistency).