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

Formula Used:

\[ l_{Short} = l - \frac{(l \times w) - A}{w - w_{Short}} \]

Length of Rectangular Hexagon (l):

Width of Rectangular Hexagon (w):

Area of Rectangular Hexagon (A):

m²

Short Width of Rectangular Hexagon (w_Short):

Short Length of Rectangular Hexagon (l_Short):

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1. What is Short Length of Rectangular Hexagon?

Short Length of Rectangular Hexagon is the remaining length of the rectangle from which the Rectangular Hexagon shape forms, after removing the cut rectangular portion. It represents one of the shorter sides of the resulting hexagonal shape.

2. How Does the Calculator Work?

The calculator uses the geometric formula:

\[ l_{Short} = l - \frac{(l \times w) - A}{w - w_{Short}} \]

Where:

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

3. Formula Explanation

Geometric Derivation: This formula calculates the remaining short length after subtracting the area of the removed rectangular portion from the original rectangle area. The relationship is derived from area conservation principles in geometric transformations.

4. Using the Calculator

Instructions: Enter all required dimensions in meters. Ensure that Width and Short Width are different values to avoid division by zero. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rectangular Hexagon?
A: A Rectangular Hexagon is a six-sided polygon formed by cutting a smaller rectangle from a larger rectangle, resulting in an L-shaped or irregular hexagonal figure.

Q2: When is this calculation useful?
A: This calculation is useful in engineering, architecture, and manufacturing where irregular hexagonal shapes are created from rectangular materials.

Q3: What if Width equals Short Width?
A: The formula becomes undefined when Width equals Short Width (division by zero). This represents a geometric impossibility in this context.

Q4: Can the result be negative?
A: The result should be positive in valid geometric configurations. A negative result indicates inconsistent input values.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for the given geometric relationship, assuming precise input measurements.