1.A room measures 12.25 meters in length and 7 meters in width. What is the largest possible side length of a square tile (in centimeters) that can exactly cover the floor without cutting any tiles?
2.A rectangular rug covers an area of 120 square meters and has a perimeter measuring 46 meters. What is the length of its diagonal?
3.The length and breadth of a rectangular plot are in the ratio 3:2. If the breadth is 40 meters shorter than the length, what is the perimeter of the plot?
4.A rectangular field has a length that is 4.5 times its width. If the total area of the field is 200 square meters, what is the length of the field?
5.A rectangular carpet covers an area of 60 square meters. The sum of its diagonal and the longer side is five times the length of the shorter side. What is the length of the carpet?
6.A rectangular carpet measures 120 square meters in area and has a perimeter of 46 meters. What is the length of its diagonal?
7.A parallelogram has two sides measuring 60 meters and 40 meters, and one of its diagonals is 80 meters in length. What is the area of the parallelogram?
8.When a square and a rhombus share the same base length, what is the ratio of the area of the square to that of the rhombus?
9.A rhombus has an area of 144 square centimeters, and one diagonal is twice the length of the other. What are the lengths of the diagonals?
10.What should be the length of the rope to which a cow is tied so that it can graze an area of 9856 square meters?
11.Two concentric circles have circumferences measuring 176 meters and 132 centimeters. What is the difference in their radii?
12.The diameter of a circle is 105 cm shorter than its circumference. What is the length of the diameter?
13.How many complete rotations will a wheel with a diameter of 7/11 meters make when it travels a distance of 4 kilometers?
14.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?
15.By what percentage does the area of a circle increase if its diameter is doubled?
16.By what percentage does the area of a circle decrease if its radius is decreased by half?
17.A circle has a circumference measuring 352 meters. What is the area of this circle in square meters?
18.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?
19.What happens to the area of a square if its diagonal length is increased to twice its original size?
20.If the length of a rectangle is raised by 10% while keeping the area constant, by what percentage should the height be reduced?