Case 1
- Base
- 8
- Height
- 5
40.00
Open with these valuesParallelogram Area Calculator
40.00square units
Result: 40.00 square unitsBase times perpendicular height — no halving, unlike a triangle. A parallelogram with a base of 8 and a height of 5 covers 40 square units. The height is the straight-across distance between the two parallel sides, never the length of a slanted side.
The numbers at a glance
Held fixed: Base 8.000.
| Height | Result |
|---|---|
| 2.000 | 16.00 |
| 4.000 | 32.00 |
| 5.000Your value | 40.00 |
| 6.000 | 48.00 |
| 8.000 | 64.00 |
| 10.000 | 80.00 |
Worked examples
Case 2
- Base
- 12
- Height
- 2.5
30.00
Open with these valuesCase 3
- Base
- 1
- Height
- 1
1.00
Open with these valuesHow it's calculated
A = base × height
- StepPick a pair of parallel sides; either one of that pair is the base.
- StepMeasure the height at a right angle to that base, not along a slanted side.
- ResultRead the area in the square of the unit you entered.
Reference table
| Base, height | Worked out | Area |
|---|---|---|
| 1, 1 | 1 × 1 | 1 |
| 6, 6 | 6 × 6 | 36 |
| 8, 5 | 8 × 5 | 40 |
| 10, 3 | 10 × 3 | 30 |
| 12, 2.5 | 12 × 2.5 | 30 |
Questions
How do I calculate the area of a parallelogram?
Multiply the base by the perpendicular height: area = base × height. There is no halving, unlike a triangle. A parallelogram with a base of 8 and a height of 5 has an area of 40 square units.
Which height should I measure?
Use the perpendicular height — the straight-line distance between the two parallel sides, measured at a right angle to the base. It is not the length of a slanted side. If you use one of the sloping sides by mistake, the area comes out too large.
Is a rectangle a parallelogram?
Yes. A rectangle is simply a parallelogram whose corners are all right angles, so area = base × height applies unchanged. A square is a special rectangle and works the same way.
How does this compare to a triangle's area?
A parallelogram has exactly twice the area of a triangle that shares the same base and height. The triangle formula is the same product, then halved. One diagonal splits a parallelogram into two equal triangles.
What units does the result use?
The calculator is unit-agnostic: the area comes out in the square of whatever unit you entered. Base and height in metres give square metres, in inches square inches. Just keep both in the same unit.
Sources and last check
Information, not professional advice.