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Geometry Calculators

Rectangle Calculator — Area, Perimeter & Diagonal

Calculate rectangle area, perimeter, diagonal, aspect ratio and optional difference between a measured diagonal and the Pythagorean theoretical value.

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Editable live calculator

Change any input — the result updates immediately

No hidden assumptions. Inputs, units and the working stay visible so you can check the calculation.

Calculated result

Area 108

Perimeter: 42

Diagonal: 15

Aspect ratio: 4:3

Show the working
  1. 1. Area = 12 × 9 = 108.
  2. 2. Perimeter = 2(12 + 9) = 42.
  3. 3. Diagonal = √(12² + 9²) = 15.

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The calculation, without hidden assumptions

A rectangle calculation becomes more useful on site when area, perimeter and diagonal are visible together. This tool also simplifies the length-to-width ratio and accepts an optional measured diagonal so you can compare field geometry with the theoretical corner-to-corner value.

How to use this calculator

1

Enter length and width in the same unit.

2

Optionally enter a measured diagonal from the field.

3

Review area, perimeter, theoretical diagonal, simplified aspect ratio and any diagonal difference.

Where people use it

  • Room and panel geometry
  • Fabrication square-up checks
  • Layout and material planning

Example: 12 × 9 rectangle

Area is 108 square units, perimeter is 42 units and diagonal is 15 units because √(12²+9²)=15.

What the result does not assume

  • A matching single diagonal is not enough to prove a four-sided layout is square; compare both diagonals and side measurements for critical work.
  • The calculator assumes straight sides and right-angle rectangle geometry.

Frequently asked questions

How do I calculate rectangle area?+

Multiply length by width.

How do I find the diagonal?+

Treat length and width as the legs of a right triangle and use the Pythagorean theorem.

What is the aspect ratio?+

It is the simplified relationship between length and width.

Semantic next steps

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View the full collection →

Rectangle Diagonal Calculator — Square-Up & Pythagorean Check

Calculate the corner-to-corner diagonal of a rectangle from length and width, then optionally compare a field-measured diagonal with the theoretical value.

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Solve a triangle from three side lengths using Heron’s formula and the law of cosines, with validity checks, angle sum, area, perimeter and triangle-type labels.

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Start with radius, diameter, circumference or area and solve the other circle measurements with the inverse formula and high-precision π value shown.

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Perimeter Calculator — Rectangle, Square, Triangle & Circle

Calculate perimeter or circumference for common shapes from editable dimensions, with the shape-specific formula and area shown as a useful companion measurement.

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Volume Calculator — Box, Cylinder & Sphere

Calculate volume for rectangular boxes, cylinders or spheres with shape-specific inputs, surface-area companion results and cubic-unit outputs.

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Slope Calculator — Rise, Run, Percent, Angle & Ratio

Convert rise and run into decimal slope, percent grade, angle, ratio and straight-line length, with negative rise supported for descending grades.

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MAXScanner keeps the formula and assumptions beside the result so you can verify the number before using it in a drawing, estimate, specification, worksheet or document. Where a supplier, manufacturer, drawing or applicable standard owns a requirement, that source remains authoritative.