Area of a rhombus — Mensuration Aptitude Question
Area of a rhombus: A rhombus has diagonals of 16 cm and 12 cm. What is its area? Answer and worked solution on CodeKairo.
- Topic: Mensuration
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 50 seconds
Question
A rhombus has diagonals of 16 cm and 12 cm. What is its area?
Options
- 48 cm²
- 96 cm²
- 144 cm²
- 192 cm²
Show the answer and the worked solution
Correct answer: B. 96 cm²
Worked solution
- Area = ½ × 16 × 12 = 96 cm².
Answer: 96 cm².
The idea
The half-product rule works for any quadrilateral whose diagonals are perpendicular, including the square and the kite.
Shortcut. The diagonals cut the rhombus into four right triangles with legs 8 and 6, each of area 24: 4 × 24 = 96 cm².
Common trap. "192 cm²" — multiplying the diagonals 16 × 12 and forgetting to halve.