Trapezoid Area Calculator
Calculate the area and midsegment of a trapezoid (trapezium) from its parallel sides and height.
Your inputs
Results
Area
32 m²
- Median (midsegment)
- 8 m
✓Exact calculation — rounded only for display
What this calculator does
Trapezoids appear in land plots, cross-sections and roof faces.
Formula and method
Area = (a + b) ÷ 2 × h; Median = (a + b) ÷ 2
Worked example
Calculated by this tool with its default inputs:
Inputs
- Length unit: Metres
- Parallel side a: 6
- Parallel side b: 10
- Height (distance between them): 4
Results
- Area: 32 m²
- Median (midsegment): 8 m
How to read the results
The area equals the median times the height.
Assumptions and limitations
- Use one length unit consistently; areas are in square units and volumes in cubic units of that length.
- “Trapezoid” (US) and “trapezium” (UK) refer to the same shape here.
Quantities and costs are planning estimates. Add sensible allowances, and check with suppliers, carriers or professionals before buying, shipping or building.
Questions
Which height do I use?
The perpendicular distance between the parallel sides.
Methodology and verification
- Result type
- Exact mathematical calculation (rounded only for display)
- Formula version
- 1.0
- Automated verification
- 2 reference and validation test cases, checked against independently computed values. The site cannot be built if any of them fail.
- Editorial review
- Awaiting human editorial review. The explanation was drafted with AI assistance; the formula and examples are verified by the automated tests above.
Privacy
Everything you enter is calculated in this browser and is not sent to Numerith or anyone else. Inputs are added to a share link only if you choose to include them. Privacy policy