The Area Of A Parallelogram Calculator is a helpful geometric tool used to find the exact two-dimensional space inside a parallelogram. A parallelogram is a four-sided shape where opposite sides are parallel and equal in length. This calculator rapidly determines the total area and the perimeter based on the dimensions you provide, saving you time and avoiding manual math errors.
Parallelogram Formula
Calculating the area of a parallelogram is very similar to calculating the area of a rectangle. Instead of multiplying by a slanted edge, you multiply the base by the straight vertical height.
- Area (A) = b * h
- Perimeter (P) = 2 * (a + b)
- b is the base length.
- h is the straight vertical height.
- a is the slanted side length.
How to Use This Calculator
Finding accurate measurements for your geometric shape is fast and intuitive. Follow these simple steps to calculate your parallelogram values instantly.
- Enter the length of the base (b) in the first input box.
- Enter the straight vertical height (h) in the second input box to find the area.
- Optionally, enter the slanted side length (a) if you also want to calculate the total perimeter.
- Select the correct unit of measurement for your inputs using the dropdown menus.
- The total Area and Perimeter values will automatically calculate and update below.
Common Calculation Examples
Here is a convenient reference table showing the area calculations for common parallelogram dimensions. This is especially helpful for evaluating geometry exercises or quick planning.
| Base (b) | Height (h) | Slanted Side (a) | Calculated Area (A) | Perimeter (P) |
|---|---|---|---|---|
| 5 | 4 | 5 | 20 | 20 |
| 8 | 5 | 6 | 40 | 28 |
| 10 | 7 | 8 | 70 | 36 |
| 12 | 10 | 11 | 120 | 46 |
| 15 | 8 | 10 | 120 | 50 |
| 20 | 12 | 13 | 240 | 66 |
| 25 | 20 | 22 | 500 | 94 |
When This Calculator Is Useful
Parallelograms are common shapes found in drafting, structural engineering and design. This calculator is incredibly useful when calculating floor space for angled rooms, figuring out material limits for custom tile cutting, woodworking, evaluating property plots in real estate, and assisting students with geometry homework.
FAQ
What is the difference between the height and the side?
The height (h) is the straight vertical distance from the bottom base line directly up to the top parallel line, forming a 90-degree angle. The slanted side (a) is the actual length of the outer tilted edge. You use the height for area, and the side for perimeter.
Is a rectangle considered a parallelogram?
Yes. A rectangle is a special type of parallelogram where all four inside angles are exactly 90 degrees. In a rectangle, the slanted side and the straight height are exactly the same line.
Why does the area formula ignore the slanted side?
If you were to cut off the slanted triangle section on one side of a parallelogram and move it to the other side, the shape would form a perfect rectangle. Because of this, the area is simply the flat base multiplied by the true vertical height.