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Rectangle Dimensions from Area and Perimeter — result sheet
Find the longer and shorter sides and diagonal of a rectangle from its area and perimeter.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: With s=P/2, the sides are roots of t²−st+A=0; diagonal=√(length²+width²).
Area and perimeter together determine the two side lengths up to order; the discriminant check catches impossible measurements.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Area — minimum 1.0E-6; maximum 1000000000000
- Perimeter — minimum 1.0E-6; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Area | 48 |
| Perimeter | 28 |
Side lengths are 8 and 6; diagonal = 10.
Assumptions and limits
- Area and perimeter use compatible squared and linear units.
- A real rectangle exists only when P²≥16A.
- The result assumes a Euclidean rectangle and does not infer wall thickness or construction tolerance.
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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