Area of a rhombus calculator
Enter the dimensions of a rhombus and read off its area, its perimeter and the quantities that follow from them.
Area
24m²
- Perimeter
- 20
- Side length
- 5
- Height
- 4.8
Show the working
- First diagonal = 8
- Second diagonal = 6
- Area = 8 * 6 / 2 = 24
- Perimeter = 4 * hypot(8/2, 6/2) = 20
- Side length = hypot(8/2, 6/2) = 5
- Height = hypot(8/2, 6/2) > 0 ? (8*6/2) / hypot(8/2, 6/2) : 0 = 4.8
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- area = d1 d2 / 2
- side = sqrt((d1/2)^2 + (d2/2)^2)
The diagonals of a rhombus always cross at right angles, which is what makes the area formula so simple.
Lengths are entered in metres by default; switch any field to feet, inches or millimetres and the conversion is exact.