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Rectangle Dimensions from Perimeter — result sheet
Recover rectangle length and width from a known perimeter and a chosen length-to-width ratio.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Width = perimeter / (2(r + 1)); length = r × width; area = length × width, where r = length/width.
A perimeter alone does not identify one rectangle—many length and width pairs share it. The aspect ratio supplies the missing condition, making the dimensions and derived area unique for the stated model.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Perimeter — units; minimum 1.0E-6; maximum 1000000000
- Length ÷ width ratio — minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Perimeter | 40 |
| Length ÷ width ratio | 1.5 |
length 12, width 8, area 96
Assumptions and limits
- The shape is a Euclidean rectangle with positive sides.
- The ratio is length divided by width and may be below one if the labels are intentionally reversed.
- The result does not infer a preferred orientation or compensate for wall thickness and measurement error.
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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