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Convex Trapezoid Perimeter — result sheet
Add the two parallel bases and two legs of a nondegenerate convex trapezoid after checking that the four lengths can form the shape.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: P = base1 + base2 + leg1 + leg2, for a nondegenerate convex trapezoid with base-difference and leg constraints satisfied.
A trapezoid perimeter is the sum of its four side lengths. The handler also checks the strict side relationship needed for two specified bases to be parallel in a nondegenerate convex configuration.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Parallel base 1 — length units; Length of the first pair of parallel sides.; minimum 1.0E-6; maximum 1000000
- Parallel base 2 — length units; Length of the second parallel base.; minimum 1.0E-6; maximum 1000000
- Leg 1 — length units; Length of the first nonparallel side.; minimum 1.0E-6; maximum 1000000
- Leg 2 — length units; Length of the second nonparallel side.; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Parallel base 1 | 5 |
| Parallel base 2 | 3 |
| Leg 1 | 4 |
| Leg 2 | 4 |
The bases differ by 2, the legs satisfy the shape check, and P = 5 + 3 + 4 + 4 = 16 length units.
Assumptions and limits
- Base1 and base2 are the one pair of parallel sides, and leg1 and leg2 are the nonparallel sides.
- The shape is nondegenerate and convex; for unequal bases, |base1-base2| lies strictly between |leg1-leg2| and leg1+leg2.
- All four lengths use compatible units and the perimeter is geometric boundary length, not area or an interior path.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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