Abhijit Guha Solutions for Chapter: Area of Plane Figures, Exercise 2: Practice Problems Level 2

A rectangular room can be partitioned into two equal square rooms by a partition $7$ metre long. What is the area of the rectangular room (in square metre)?

A man walking at the speed of $4 \mathrm{km}/\mathrm{h}$ crosses a square field diagonally in $3$ minutes. The area of the field is:

The area of a rectangular field is $144 {\mathrm{m}}^2$. If its length is increased by $5$ metre, its area increases by $40 {\mathrm{m}}^2$. The length of the field is:

The length and breadth of a rectangular hall are $40$ metre and $30$ metre respectively. The distance between the two opposite corners of the hall is:

The difference between the length and breadth of a rectangle is $23$ metre. If the perimeter of the rectangle is $206$ metre, then the area is:

If the area of a circle is A sq. metre, radius of the circle is r metre, and circumference of it is C metre, then:

The radius of the wheel of a bus is $70 \mathrm{cm}$ and the speed of the bus is $66 \mathrm{km}/\mathrm{h}$, then the r.p.m. (revolutions per minute) of the wheel is:

Two squares A and B have each side as $10$ and $24$ metre respectively. Find the side of another square C whose area is equal to the sum of area of A and B: