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

Formula Used:

\[ Area = ((Short\ Length + Inner\ Length) \times (Short\ Width + Inner\ Width)) - (Inner\ Length \times Inner\ Width) \]

Short Length of Rectangular Hexagon:

Inner Length of Rectangular Hexagon:

Short Width of Rectangular Hexagon:

Inner Width of Rectangular Hexagon:

Area of Rectangular Hexagon:

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1. What is a Rectangular Hexagon?

A Rectangular Hexagon is a six-sided polygon formed by removing a smaller rectangular portion from a larger rectangle. It has two pairs of parallel sides and all interior angles are 90 degrees.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Area = ((lShort + lInner) \times (wShort + wInner)) - (lInner \times wInner) \]

Where:

\( lShort \) — Short Length of Rectangular Hexagon (m)
\( lInner \) — Inner Length of Rectangular Hexagon (m)
\( wShort \) — Short Width of Rectangular Hexagon (m)
\( wInner \) — Inner Width of Rectangular Hexagon (m)

Explanation: This formula calculates the area by first finding the area of the complete rectangle (before the inner portion is removed) and then subtracting the area of the removed inner rectangular portion.

3. Importance of Area Calculation

Details: Calculating the area of a rectangular hexagon is important in various fields including architecture, engineering, and construction where such shapes are commonly encountered in floor plans, land plots, and structural designs.

4. Using the Calculator

Tips: Enter all measurements in meters. Ensure all values are positive numbers. The calculator will compute the area by considering both the outer dimensions and the removed inner rectangular portion.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between a regular hexagon and a rectangular hexagon?
A: A regular hexagon has six equal sides and equal angles, while a rectangular hexagon is formed from a rectangle with a rectangular portion removed, resulting in six sides with specific length relationships.

Q2: Can this calculator handle different units of measurement?
A: The calculator assumes all inputs are in meters. If using other units, convert all measurements to the same unit before calculation.

Q3: What if the inner dimensions are larger than the outer dimensions?
A: The formula requires that the inner dimensions be smaller than the corresponding outer dimensions for a valid rectangular hexagon shape.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values. The accuracy of the result depends on the accuracy of the measurements provided.

Q5: Can this formula be used for other polygon shapes?
A: No, this specific formula is designed only for rectangular hexagons formed in this particular way from a rectangle with a rectangular portion removed.