The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.

The area of a rhombus is equal to the area of a triangle whose base and the corresponding altitude are 24.8 cm and 16.5 cm respectively. If one of the diagonals of the rhombus is 22 cm, find the length of the other diagonal.

A field in the form of a rhombus has each side of length 64 m and altitude 16 m. What is the side of a square field which has the same area as that of a rhombus?

Find the area of the field in the form of a rhombus, if the length of each side be 14 cm and the altitude be 16 cm.

A garden is in the form of a rhombus whose side is 30 metres and the corresponding altitudes is 16 m. Find the cost of levelling the garden at the rate of Rs. 2 per m².

In the given figure, ABCD is a quadrilateral-shaped field in which diagonal BD is 36 m, and such that m and m. Find the area of the field.

Fill in the blanks to make the correct statement.

If the diagonals of the rhombus get doubled, then the area of the rhombus becomes ________ its original area.

Fill in the blanks to make the correct statement.

If a cube fits exactly in a cylinder with height h, then the volume of the cube is ________ and surface area of the cube is ________.

Fill in the blanks to make the correct statement.

If the diagonal d of the quadrilateral is doubled and the heights h₁ and h₂ is falling on d are halved, then the area of quadrilateral is _________.

Area of a quadrilateral ABCD is 20cm² and perpendiculars on BD from opposite vertices are 1cm and 1.5cm. The length of BD is

The area of parallelogram is 60cm² and one of its altitude is 5cm. The length of its corresponding side is