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VolumeCalculator.Co - Free online calculator tool for finding the volume of various 3D shapes with step-by-step solutions and comprehensive unit conversion.

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Perimeter of a Rectangle Calculator

Calculate rectangle perimeter using length and width. Get step-by-step solutions, visual diagrams, and bonus calculations for area and diagonal.

Rectangle Dimensions

Rectangle Formulas

Perimeter: P = 2(l + w) = 2l + 2w
Area: A = l × w
Diagonal: d = √(l² + w²)
Square (special case): P = 4s, A = s²

Common Rectangle Sizes

A4 Paper297 × 210 mm
Letter Paper11 × 8.5 in
Credit Card85.6 × 53.98 mm
Business Card3.5 × 2 in
Photo 4×66 × 4 in
Photo 5×77 × 5 in

Rectangle Properties

Opposite sides are equal: Two pairs of parallel, equal sides
All angles are 90°: Four right angles at each corner
Diagonals are equal: Both diagonals have the same length
Symmetry: Two lines of symmetry (horizontal and vertical)

Understanding Rectangle Perimeter

The perimeter of a rectangle is one of the most fundamental calculations in geometry. It represents the total distance around the outside edge of the rectangle, which is essential for many practical applications.

Key Concepts:

  • Perimeter Definition: The sum of all four sides of the rectangle
  • Formula Derivation: Since opposite sides are equal: P = l + w + l + w = 2(l + w)
  • Units: Perimeter is measured in linear units (meters, feet, inches, etc.)
  • Square Special Case: When length equals width, P = 4s

Real-World Applications:

  • Fencing: Calculate how much fencing material needed for rectangular yards
  • Framing: Determine frame length for pictures, windows, or doors
  • Construction: Calculate trim, molding, or border materials needed
  • Landscaping: Plan walking paths or garden borders
  • Manufacturing: Calculate edge treatments or finishing materials

Problem-Solving Tips:

  • Always identify which measurement is length and which is width
  • Check your units - make sure length and width use the same units
  • Remember that perimeter and area are different measurements
  • For word problems, draw a diagram to visualize the rectangle

Related Calculations:

When working with rectangles, you often need related measurements like area (l × w) and diagonal (√(l² + w²)). These help provide a complete picture of the rectangle's properties and can be useful for verification or additional problem-solving.

Frequently Asked Questions - Rectangle Perimeter Calculator

The perimeter of a rectangle is the total distance around its outside edge. It's calculated by adding all four sides: P = 2(length + width) or P = 2l + 2w.

Tips

  • Enter the dimensions in the same unit for consistency.
  • Results update automatically as you type.
  • Use the unit selector to convert between different measurement systems.