The area of a trapezium is $2500 \, m^2$. One of its parallel sides is $75 \, m$. If the distance between the two parallel sides is $40 \, m$,then find the length of the other parallel side in $m$.

$A$ room is $7 \text{ m}$ long and $5 \text{ m}$ broad. The doors and windows occupy $5 \text{ m}^2$. The cost of papering the remaining part of the walls with paper $75 \text{ cm}$ wide,at ₹ $4.20$ per piece of $13 \text{ m}$,is ₹ $39.20$. Find the height of the room (in $\text{m}$).

The diameter of a circle is $105 \, cm$ less than its circumference. What is the diameter of the circle? (in $cm$)

How many times will a wheel of diameter $105\, cm$ rotate in covering a distance of $330\, m$? (in $revolutions$)

If the radius of a circle is reduced by $40 \%$,then its circumference is reduced by (in $\%$).

The area of a circle is $220 \text{ cm}^2$. The area of a square inscribed in this circle will be (in $\text{cm}^2$):