Case 1
- First diagonal
- 6
- Second diagonal
- 8
24.00
Open with these valuesRhombus Area Calculator
24.00units²
Result: 24.00 units²Half the product of the diagonals: d₁ × d₂ ÷ 2. Diagonals of 6 and 8 give 24. The halving is easy to forget — a square with both diagonals 10 has an area of 50, not 100, because its side is 7.07 and not 10.
The numbers at a glance
Held fixed: First diagonal 6.000.
| Second diagonal | Result |
|---|---|
| 2.000 | 6.00 |
| 4.000 | 12.00 |
| 6.000 | 18.00 |
| 8.000Your value | 24.00 |
| 10.000 | 30.00 |
| 12.000 | 36.00 |
| 14.000 | 42.00 |
| 16.000 | 48.00 |
Worked examples
Case 2
- First diagonal
- 12
- Second diagonal
- 5
30.00
Open with these valuesCase 3
- First diagonal
- 10
- Second diagonal
- 10
50.00
Open with these valuesHow it's calculated
A = d₁ × d₂ ÷ 2
- StepMeasure the long diagonal, corner to opposite corner.
- StepMeasure the short diagonal, the other way.
- ResultRead the area in the square of the unit you entered.
Reference table
| Diagonals | Side | Area |
|---|---|---|
| 2, 2 | 1.414 | 2 |
| 4, 6 | 3.606 | 12 |
| 6, 8 | 5 | 24 |
| 12, 5 | 6.5 | 30 |
| 10, 10 | 7.071 | 50 |
Questions
How do you find the area of a rhombus?
Multiply the two diagonals and halve the result. Diagonals of 6 and 8 give 24 square units.
I know the side and the height instead.
Then it works like any parallelogram: base times perpendicular height. The diagonal formula is only easier when the diagonals are what you can measure.
How do I get the side from the diagonals?
The diagonals cross at right angles and bisect each other, so the side is √((d₁÷2)² + (d₂÷2)²). For 6 and 8 that is exactly 5.
Is a square a rhombus?
Yes, the one with equal diagonals. Both diagonals of 10 give an area of 50 and a side of 7.07.
Sources and last check
Information, not professional advice.