- A17 cm
- B92 cm
- C46 cm
- D68 cm
Step-by-Step Solution
The diagonals of a rhombus bisect each other at right angles, so cm, cm and cm. Perimeter cm.
Answer: D) 68 cm
The diagonals of rhombus ABCD are AC = 30 cm and BD = 16 cm, drawn to scale. Find the perimeter of the rhombus.
Class 9QuadrilateralsGeometry — Quadrilaterals
Key idea: Special parallelograms
**Rectangle** (parallelogram + all angles 90°):
- All properties of a parallelogram.
- Diagonals are EQUAL (in addition to bisecting each other).
**Rhombus** (parallelogram + all sides equal):
- All properties of a parallelogram.
- Diagonals bisect each other AT RIGHT ANGLES.
- Diagonals also bisect the angles of the rhombus.
**Square** (rectangle + rhombus):
- All properties of both.
- Diagonals: equal, bisect at right angles, AND bisect angles.
- All properties of a parallelogram.
- Diagonals are EQUAL (in addition to bisecting each other).
**Rhombus** (parallelogram + all sides equal):
- All properties of a parallelogram.
- Diagonals bisect each other AT RIGHT ANGLES.
- Diagonals also bisect the angles of the rhombus.
**Square** (rectangle + rhombus):
- All properties of both.
- Diagonals: equal, bisect at right angles, AND bisect angles.
Master this chapter in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.
Practice 5 Similar Questions Free →All Quadrilaterals practice questions
More Class 9 Quadrilaterals practice
ABCD is a rectangle and its diagonals meet at O. ∠OAB = 34°. Find the orange angle x =…ABCD is a trapezium with AB ∥ DC, AB = 18 cm and DC = 10 cm. E is the mid-point of AD,…ABCD is a parallelogram with diagonal AC. ∠DAC = 42° and ∠ABC = 108°. Find the orange…In quadrilateral ABCD the dashed diagonals are AC = 14 cm and BD = 10 cm. P, Q, R and S…ABCD is an isosceles trapezium: AB ∥ DC and the legs AD = BC (tick marks). ∠A = (2x +…