Area of a Rhombus Formula
Geometry Formulas: Area, Volume, Perimeter
What is the formula for the area of a rhombus?
Answer
Area of a rhombus
A = ½ · d · e
Here d is the first diagonal, e is the second diagonal. The result comes out in square units.
Where the formula comes from
A = ½ · d · e
The diagonals of a rhombus cross at right angles and cut each other in half, so they slice it into four right triangles. Put together, those four fill exactly half of the rectangle d by e drawn around the rhombus.
Worked examples
Let d = 10, e = 6. Then the area of a rhombus = 30 square units.
Let d = 7.4, e = 5. Then the area of a rhombus = 18.5 square units.
The common mistake
Squaring the side, as for a square. A rhombus has four equal sides, but unless it IS a square its angles are not right, and then a² overstates the area — the same trap as with a parallelogram, which a rhombus is. A square is the one rhombus where a² happens to be exact.
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See Also
- Square Footage Calculator - Width × length in feet to square feet
- Square Feet to Square Meters (Sq Ft to Sq M) - Convert Square Feet to Square Meters
- Square Meters to Square Feet (Sq M to Sq Ft) - Convert Square Meters to Square Feet
- Gravel Calculator - Area to cubic yards, tons and coverage
- Topsoil Calculator - Cubic yards, weight and coverage for any area
- Multiplication Facts - Any two numbers from 1 to 9, with the working shown
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Values from the Formula (e = 6)
| If d = | Area |
|---|---|
| 1 | 3 square units |
| 2 | 6 square units |
| 3 | 9 square units |
| 4 | 12 square units |
| 5 | 15 square units |
| 10 | 30 square units |
Geometry Formulas: Area, Volume, Perimeter
These are the formulas for the area, perimeter, circumference, volume and surface area of the standard shapes — 31 of them. Each page shows not only the formula but where it comes from, what every letter stands for, two worked examples and the mistake that this particular shape invites. For example, it can help you find out what is the formula for the area of a rhombus? (The answer is: A = ½ · d · e). Pick the pair — "Area of a circle", for instance — and hit the "Find out" button.
Geometry Formulas: Area, Volume, Perimeter