The length of a plot is five times its breadth. A playground measuring 245 square metres occupies half of the total area of the plot. What is the length of the plot?

If the area of a rhombus is 240 square feet if it's one diagonal is 16 feet, then what is the length (in meters) of the side of the rhombus?

The perimeter of five squares are 24 cm, 32 cm, 40 cm, 76 cm and 80 cm respectively. The perimeter of another square equal in area to sum of the areas of these squares is: 

The perimeter of a rectangle is 132 m and the difference between the length and breadth of the rectangle is 14 m then find the perimeter of square whose area is 16 m² less than the area of the rectangle.

The diameters of two circles are 12 cm and 20 cm, respectively and the distance between their centres is 16 cm. Find the number of common tangents to the circles.

What is the volume of a cylinder if the radius of the cylinder is 10 cm and height is 20 cm? (Take π = 3.14)

The perimeter of a square is equal to the perimeter of a rectangle, and the latter has a width of 12 cm. The area of the square is 400 cm² . Find the area of the rectangle.

ABC is an equilateral triangle with side 12 cm and AD is the median. Find the length of GD if G is the centroid of ΔАВС.