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

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

Formula Used:

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

Area of Rectangular Hexagon (A):

m²

Inner Length of Rectangular Hexagon (l_Inner):

Inner Width of Rectangular Hexagon (w_Inner):

Short Length of Rectangular Hexagon (l_Short):

Width of Rectangular Hexagon (w):

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1. What is the Width of Rectangular Hexagon?

The Width of Rectangular Hexagon is the length of shortest side of the rectangle from which the Rectangular Hexagon shape forms. It is a fundamental geometric measurement used in various architectural and engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the width of a rectangular hexagon by considering the total area and the dimensions of the inner rectangular portion that has been removed from the original rectangle.

3. Importance of Width Calculation

Details: Accurate width calculation is crucial for determining the overall dimensions of rectangular hexagon shapes, which are commonly used in construction, manufacturing, and various design applications where complex geometric shapes are required.

4. Using the Calculator

Tips: Enter all values in meters. Ensure that all input values are non-negative numbers. The calculator will compute the width based on the provided area, inner dimensions, and short length.

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 formula applicable?
A: This formula is specifically designed for calculating the width of rectangular hexagons where the inner rectangular cutout is parallel to the outer edges.

Q3: What units should I use for the inputs?
A: All inputs should be in consistent units (preferably meters), and the result will be in the same units.

Q4: Are there any limitations to this formula?
A: This formula assumes that the inner rectangular cutout is properly aligned with the outer rectangle and that all dimensions are positive values.

Q5: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values with up to 4 decimal places for precise calculations.