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

Formula Used:

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

Area of Rectangular Hexagon (A):

m²

Short Length of Rectangular Hexagon (lShort):

Inner Width of Rectangular Hexagon (wInner):

Width of Rectangular Hexagon (w):

Length of Rectangular Hexagon (l):

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1. What is the Length of Rectangular Hexagon?

The Length of Rectangular Hexagon is the longest side of the rectangle from which the Rectangular Hexagon shape forms. It is a crucial dimension in determining the overall geometry and properties of the hexagon.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the length by subtracting the area contribution of the inner rectangular portion from the total area, then dividing by the difference between the outer and inner widths.

3. Importance of Length Calculation

Details: Accurate length calculation is essential for geometric analysis, construction planning, material estimation, and understanding the spatial properties of rectangular hexagon shapes in various applications.

4. Using the Calculator

Tips: Enter all values in meters. Ensure that the width is greater than the inner width, and all values are positive numbers. The calculator will compute the length based on the provided inputs.

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 a shape with both inner and outer dimensions.

Q2: Why is the inner width important in this calculation?
A: The inner width helps determine the area of the removed rectangular portion, which is subtracted from the total area to find the remaining dimensions.

Q3: Can this formula be used for any rectangular hexagon?
A: Yes, this formula applies to all rectangular hexagons where a smaller rectangle has been removed from a larger one, provided the dimensions are known.

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

Q5: What if the width equals the inner width?
A: The formula requires that width be greater than inner width to avoid division by zero. If they are equal, the shape would not be a valid rectangular hexagon.