The sides of a rectangle are in the ratio 5 : 4 and its perimeter is 90 cm. Find its length and breadth.

The lengths of the diagonals of a rhombus are 16 cm and 12 cm respectively. Find the length of each of its sides.

In the given figure ABCD is a square. Find the measure of .

Name each of the following parallelograms.

(i) The diagonals are equal and the adjacent sides are unequal.

(ii) The diagonals are equal and the adjacent sides are equal.

(iii) The diagonals are unequal and the adjacent sides are equal.

(iv) All the sides are equal and one angle is 60°.

(v) All the sides are equal and one angle is 90°.

(vi) All the angles are equal and the adjacent sides are unequal.

Which of the following statements are true and which are false?

(i) The diagonals of a parallelogram are equal.

(ii) The diagonals of a rectangle are perpendicular to each other.

(iii) The diagonals of a rhombus are equal.

(iv) Every rhombus is a kite.

(v) Every rectangle is a square.

(vi) Every square is a parallelogram.

(vii) Every square is a rhombus.

(viii) Every rectangle is a parallelogram.

(ix) Every parallelogram is a rectangle.

(x) Every rhombus is a parallelogram.