If the length of the diagonal of a square is $${ 10\sqrt{2}}$$ cm, then what will be the area of the square?

A rectangular ground 16m long and 10m breadth. It has a gravel path 2.5m wide all around it on the outside. What is the area of the path?

The ratio of the areas of two circles is 16: 25. What will be the ratio of their circumferences?

If the perimeter of a circular plot is equal to the perimeter of a square plot, what will be the ratio of their areas?

A right circular cylinder is formed by rolling a rectangular sheet of metal of length 44 cm and breath 20 cm along its length. The volume of cylinder is_

A field roller, in the shape of a cylinder, has a diameter of 1 meter and length of $$ {1}{1\over4}$$ meter. If the speed at which the roller rolls is 14 revolutions per minute, then the maximum area ( in m²) that it can roll in 1 hour is:

A solid cube, whose diagonal is $$ 128 {\ sqrt {2}} \ cm $$, is molded to form a cuboid. The length and width of the cuboid are 512 cm and 160 cm, respectively. What is the height of the cuboid?

A wall is the form of a trapezium with height 8 m and parallel sides being 5 m and 10 m. What is the cost of painting the wall, if the rate of painting is Rs. 50 per square meter  ?