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 $\%$)

The length of a rectangular hall is $\frac{4}{3}$ of its width. If the area of the hall is $300 \, m^2$,what is the difference between the length and the breadth? (in $m$)

$A$ ladder is placed so as to reach a window $63 \ cm$ high. The ladder is then turned over to the opposite side of the street and is found to reach a point $56 \ cm$ high. If the ladder is $65 \ cm$ long,then the width of the street is........$cm$

The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side $22\, cm$. What is the breadth of the rectangle if its perimeter is $668\, cm$? (in $cm$)

If the length of a rectangular field is increased by $20 \%$ and the breadth is reduced by $20 \%,$ the area of the rectangle will be $192 \, m^2.$ What is the area of the original rectangle? (in $m^2$)

$A$ rectangular farm has to be fenced on one long side, one short side, and the diagonal. If the cost of fencing is ₹ $10$ per $m$, the area of the farm is $1200 \ m^2$, and the short side is $30 \ m$ long, how much would the job cost? (in ₹)