Area of Rectangular Hexagon given Length, Inner Length, Width and Short Width Calculator

Formula Used:

\[ Area = (l \times w) - (l_{inner} \times (w - w_{short})) \]

Length of Rectangular Hexagon:

Width of Rectangular Hexagon:

Inner Length of Rectangular Hexagon:

Short Width of Rectangular Hexagon:

Area of Rectangular Hexagon:

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1. What is the Area of Rectangular Hexagon Formula?

The Area of Rectangular Hexagon formula calculates the total area of a rectangular hexagon by subtracting the area of the inner rectangular cutout from the area of the outer rectangle. This provides the net area of the remaining hexagonal shape.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Area = (l \times w) - (l_{inner} \times (w - w_{short})) \]

Where:

\( l \) — Length of Rectangular Hexagon (m)
\( w \) — Width of Rectangular Hexagon (m)
\( l_{inner} \) — Inner Length of Rectangular Hexagon (m)
\( w_{short} \) — Short Width of Rectangular Hexagon (m)

Explanation: The formula calculates the area of the outer rectangle and subtracts the area of the inner rectangular portion that has been removed to form the hexagonal shape.

3. Importance of Area Calculation

Details: Calculating the area of a rectangular hexagon is important in various engineering, architectural, and design applications where this specific shape is used. It helps in material estimation, structural analysis, and space planning.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure all values are positive numbers. The short width should be less than the total width for meaningful results.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rectangular Hexagon?
A: A rectangular hexagon is a six-sided polygon formed by removing two rectangular corners from a larger rectangle, creating a shape with six sides.

Q2: Why subtract the inner area?
A: The subtraction accounts for the portion of the original rectangle that has been removed to create the hexagonal shape, giving the net area.

Q3: What units should I use?
A: Use consistent units (preferably meters) for all measurements. The result will be in square units of the input measurement.

Q4: Can this formula be used for irregular hexagons?
A: No, this specific formula applies only to rectangular hexagons formed by removing rectangular corners from a larger rectangle.

Q5: What if the short width equals the total width?
A: If short width equals total width, it means no rectangular portion was removed, and the shape remains a complete rectangle.