The length and the breadth of the floor of a rectangular hall are 98 feet and 70 feet, respectively. If all persons in the hall are allotted equal square spaces as workstations, what will be the area of the largest such workstation that can be allotted to any user, assuming no space in the hall is left unoccupied?

If the adjacent sides of a rectangle whose perimeter is 60 cm are in the ratio 3 : 2, then what will be the area of the rectangle?

A wire is bent to form a square of area 169 cm². If the same wire is bent to form a circle, then what is its area (in cm², to the nearest whole number)? Take \(\pi = \frac{22}{7}\)

The ratio between the length and breadth of a rectangular field is 9 : 4. Calculate the cost of levelling the field at Rs 4.50 per meter square, if the perimeter of the field is 52 meters.

Find the length of the arc of the sector of a circle of diameter 7 cm with a central angle of 108°. [Use π= 22/7]

In the given figure, a square ABCD is inscribed in a quadrant ACPQ. If the AB = 16 cm, find the area of the shaded region (take π =3.14) correct to two places of decimal.

A rectangular carpet has area 162.5 m² and the perimeter is 70 m. Then find the length of diagonal of the carpet.

If the length and the breadth of the rectangle are in the ratio 4 : 7 and the perimeter of the rectangle is 946 m. Find the area of the rectangle.

The diameter of a circle is half the side of a square whose area is 144 cm². What is the area of the circle?

A rectangular carpet has a perimeter of 38 metres and the difference between its length and breadth is 12m. The length of its diagonal (in meters) is:

A square park having a side 22 m has two roads each 2 m wide running in the middle of it and parallel to its length and breadth. What will be the cost of gravelling the path at the rate of ₹ 100/m²?