1.How many complete rotations will a wheel with a diameter of 7/11 meters make when it travels a distance of 4 kilometers?
2.A circular wire with a radius of 42 cm is reshaped into a rectangle where the length and width are in the ratio 6:5. What is the length of the shorter side of the rectangle?
3.By what percentage does the area of a circle increase if its diameter is doubled?
4.By what percentage does the area of a circle decrease if its radius is decreased by half?
5.A circle has a circumference measuring 352 meters. What is the area of this circle in square meters?
6.A square has a side length of x, and its area is the same as that of a triangle with base x. What is the height of the triangle?
7.What happens to the area of a square if its diagonal length is increased to twice its original size?
8.If the length of a rectangle is raised by 10% while keeping the area constant, by what percentage should the height be reduced?
9.A rectangle has a length that is double its width. If the length is reduced by 5 cm and the width is increased by 5 cm, what is the length of the rectangle?
10.A rectangle has a length of 15 cm and an area of 159 cm². If the area is increased to 1⅓ times the original by extending only the length, what is the new perimeter of the rectangle?
11.A rectangular room has a length of 4 meters. If it is divided into two identical square rooms, what is the length of each side of these square partitions in meters?
12.If the side length of a square is increased by 40% and its width is increased by 30%, by what percentage does the area of the new rectangle surpass the original square's area?
13.A rectangular hall measures 20 meters in length and 15 meters in width. It is enclosed by a verandah of consistent width measuring 2.5 meters. What is the total cost of flooring the verandah if the rate is Rs. 3.50 per square meter?
14.Given that the areas of two squares are in the ratio 9 to 1, what is the ratio of their perimeters?
15.If the length of a rectangle is increased by 60%, by what percentage must the width be reduced to keep the area unchanged?
16.A rectangle's area is three times larger than that of a square. The rectangle's length measures 40 cm, and its width is 1.5 times the side length of the square. What is the length of the square's side in centimeters?
17.A hall's length is (4/3) times its width. If the total area of the hall is 300 square meters, what is the difference between its length and width?
18.If the length of each side of a square is increased by 25%, by what percentage does its area increase?
19.The length and width of a rectangular plot are in the ratio 5:4. If the width is 20 meters shorter than the length, what is the perimeter of the plot?
20.A rectangular plot has its length and width in the ratio 5:3. If the owner spends Rs 3000 to fence the entire plot at a cost of Rs 7.50 per meter, what is the difference between the length and the width of the plot?