Parallelogram Area
A parallelogram is a sheared rectangle, so area stays base times height. The perimeter is twice the sum of the two side lengths.
Your numbers
Area
84cm²
Perimeter
42cm
Formula
Area = Base × Height
Shearing reduces the height but not the side lengths — equal perimeters can mean very different areas.
What to enter
| Input | Default | Accepted range |
|---|---|---|
| Base (cm)The side you treat as the bottom when finding area. | 12 | 0 and up |
| Height (cm)The perpendicular height from the base — not the slanted side. | 7 | 0 and up |
| Side b (cm)The length of the second side. | 9 | 0 and up |
Step by step
Quick reference table
Results when only Base (cm) changes and everything else stays put.
| Base (cm) | Area (cm²) | Perimeter (cm) |
|---|---|---|
| 6 | 42 | 30 |
| 9 | 63 | 36 |
| 12 | 84 | 42 |
| 18 | 126 | 54 |
| 24 | 168 | 66 |
What each result means
| Result | At default values |
|---|---|
| Area (cm²)The space a shape covers — length squared. | 84 |
| Perimeter (cm)The total length around the outside of a shape. | 42 |
Common mistakes
Shearing reduces the height but not the side lengths — equal perimeters can mean very different areas.
Glossary
- Base
- The side you treat as the bottom when finding area.
- Height
- The perpendicular height from the base — not the slanted side.
- Side b
- The length of the second side.
- Area
- The space a shape covers — length squared.
- Perimeter
- The total length around the outside of a shape.
Frequently asked questions
Q. How is Parallelogram Area calculated?
Area = Base × Height — A parallelogram is a sheared rectangle, so area stays base times height. The perimeter is twice the sum of the two side lengths.
Q. Can you walk through an example?
With Base 12cm, Height 7cm, Side b 9cm, the answer is Area 84cm².
Q. What do I need to enter?
Enter Base, Height, Side b. The result recalculates as you type, and an empty box counts as zero.
Q. How much does the answer move if I change a number?
Changing only Base (cm) moves the answer to Base (cm) 6 → Area (cm²) 42 and Base (cm) 24 → Area (cm²) 168. The table below lays out five steps.
Q. How are the numbers rounded?
Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.
Q. Anything to watch out for?
Shearing reduces the height but not the side lengths — equal perimeters can mean very different areas.
Related calculators
Keep your length units consistent across inputs — mixing centimetres and metres throws results far off.