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

Formula Used:

\[ w = \frac{A + (l_{Short} \times w_{Short}) - (w_{Short} \times \frac{P}{2})}{l_{Short} - w_{Short}} \]

Area of Rectangular Hexagon (A):

m²

Short Length of Rectangular Hexagon (lShort):

Short Width of Rectangular Hexagon (wShort):

Perimeter of Rectangular Hexagon (P):

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 mathematical and engineering applications.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ w = \frac{A + (l_{Short} \times w_{Short}) - (w_{Short} \times \frac{P}{2})}{l_{Short} - w_{Short}} \]

Where:

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

Explanation: This formula calculates the width of a rectangular hexagon based on its area, perimeter, and the remaining dimensions after removing the cut rectangular portion.

3. Importance of Width Calculation

Details: Accurate width calculation is crucial for geometric analysis, structural design, and various engineering applications where precise dimensional measurements are required.

4. Using the Calculator

Tips: Enter all values in meters. Ensure that the short length and short width are different values (lShort ≠ wShort) and all inputs are positive numbers.

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 must lShort and wShort be different?
A: The formula involves division by (lShort - wShort), so these values cannot be equal to avoid division by zero.

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

Q4: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values with up to 4 decimal places precision.

Q5: What if I get a negative result?
A: A negative result typically indicates invalid input values or a geometric configuration that doesn't form a valid rectangular hexagon.