Area Of Rectangular Hexagon Given Length, Short Length, Width And Inner Width Calculator

Formula Used:

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

Length of Rectangular Hexagon:

Width of Rectangular Hexagon:

Inner Width of Rectangular Hexagon:

Short Length of Rectangular Hexagon:

Area of Rectangular Hexagon:

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1. What is the Area of Rectangular Hexagon?

The Area of Rectangular Hexagon is the amount of 2-dimensional space covered or occupied by the figure. It is calculated by subtracting the area of the removed rectangular portion from the area of the original rectangle.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( A \) — Area of Rectangular Hexagon (m²)
\( l \) — Length of Rectangular Hexagon (m)
\( w \) — Width of Rectangular Hexagon (m)
\( w_{inner} \) — Inner Width of Rectangular Hexagon (m)
\( l_{short} \) — Short Length of Rectangular Hexagon (m)

Explanation: The formula calculates the total area by first finding the area of the original rectangle (l × w), then subtracting the area of the removed rectangular portion (w_inner × (l - l_short)).

3. Importance of Area Calculation

Details: Calculating the area of a rectangular hexagon is important in various fields including architecture, engineering, and manufacturing where this shape is commonly encountered in designs and structures.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure that all values are positive and that the short length is less than the total length for meaningful results.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rectangular Hexagon?
A: A Rectangular Hexagon is a geometric shape formed by removing a smaller rectangular portion from a larger rectangle, resulting in a six-sided polygon.

Q2: Why is it called a Rectangular Hexagon?
A: Despite being derived from a rectangle, the removal of a rectangular portion creates a shape with six sides, making it a hexagon.

Q3: Can the inner width be larger than the main width?
A: No, the inner width should be less than or equal to the main width of the rectangular hexagon for the shape to be valid.

Q4: What units should I use for the inputs?
A: The calculator uses meters as the default unit, but you can use any consistent unit of length as long as all inputs use the same unit.

Q5: Can this formula be used for any rectangular hexagon?
A: This specific formula applies to rectangular hexagons where the removed portion is parallel to the width dimension of the original rectangle.