Rectangle Calculator

How to Calculate Rectangle Properties

A rectangle is a four-sided shape with opposite sides parallel and all angles equal to 90 degrees. Understanding how to calculate its properties is fundamental in geometry and has practical applications in many fields.

Rectangle Formulas

The key formulas for calculating rectangle properties are:

• Area (A) = length × width
• Perimeter (P) = 2 × (length + width)
• Diagonal (d) = √(length² + width²)

Where length and width are the dimensions of the rectangle.

Calculation Steps

1. Measure or identify the length and width of the rectangle.
2. To calculate the area:
   • Multiply the length by the width.
3. To calculate the perimeter:
   • Add the length and width.
   • Multiply the result by 2.
4. To calculate the diagonal:
   • Square the length and width.
   • Add these squared values.
   • Take the square root of the sum.

Example Calculation

Let's calculate the properties of a rectangle with length 6 units and width 4 units:

1. Given: Length (l) = 6 units, Width (w) = 4 units
2. Calculate area: A = l × w = 6 × 4 = 24 square units
3. Calculate perimeter: P = 2(l + w) = 2(6 + 4) = 2(10) = 20 units
4. Calculate diagonal: d = √(l² + w²) = √(6² + 4²) = √(36 + 16) = √52 ≈ 7.21 units

Visual Representation

This diagram illustrates a rectangle with its length, width, and diagonal. The rectangle is drawn in blue, while the diagonal is shown in red. The length and width define the size of the rectangle, and the diagonal spans from one corner to the opposite corner.