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

Formula Used:

\[ Short\ Width = Width - \frac{(Length \times Width) - Area}{Inner\ Length} \]

Width of Rectangular Hexagon:

Length of Rectangular Hexagon:

Area of Rectangular Hexagon:

m²

Inner Length of Rectangular Hexagon:

Short Width of Rectangular Hexagon:

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1. What is the Short Width of Rectangular Hexagon?

The Short Width of Rectangular Hexagon is the remaining length of the rectangle width from which the Rectangular Hexagon shape forms, after removing the cut rectangular portion. It represents the shorter dimension of the hexagonal shape derived from a rectangle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Short\ Width = Width - \frac{(Length \times Width) - Area}{Inner\ Length} \]

Where:

\( Width \) — Width of Rectangular Hexagon (m)
\( Length \) — Length of Rectangular Hexagon (m)
\( Area \) — Area of Rectangular Hexagon (m²)
\( Inner\ Length \) — Inner Length of Rectangular Hexagon (m)

Explanation: This formula calculates the remaining width after subtracting the proportional area difference from the original width, using the inner length as the scaling factor.

3. Importance of Short Width Calculation

Details: Calculating the short width is essential for geometric analysis, architectural design, and engineering applications involving rectangular hexagons. It helps determine the precise dimensions of the modified shape after removing a rectangular portion from the original rectangle.

4. Using the Calculator

Tips: Enter all dimensions in meters and area in square meters. All values must be positive numbers greater than zero. Ensure the inner length is not zero to avoid division errors.

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: When is this calculation typically used?
A: This calculation is commonly used in architectural design, manufacturing, and geometric modeling where rectangular shapes are modified by removing sections.

Q3: What units should I use for the inputs?
A: All linear dimensions should be in consistent units (meters), and area should be in square units (m²) of the same measurement system.

Q4: Can this formula be used for any rectangular hexagon?
A: Yes, this formula applies to all rectangular hexagons where the cut portion is rectangular and parallel to the original rectangle's sides.

Q5: What if the calculated short width is negative?
A: A negative result indicates that the input values may not represent a valid rectangular hexagon configuration, or there may be an error in the measurements.