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

Formula Used:

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

Area of Rectangular Hexagon (A):

m²

Short Length of Rectangular Hexagon (lShort):

Short Width of Rectangular Hexagon (wShort):

Perimeter of Rectangular Hexagon (P):

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 represents the primary dimension of the geometric figure.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( l \) — Length 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 length of a rectangular hexagon based on its area, perimeter, and the remaining dimensions after removing the cut rectangular portion.

3. Importance of Length Calculation

Details: Accurate length calculation is crucial for geometric analysis, architectural design, and engineering applications involving rectangular hexagon shapes.

4. Using the Calculator

Tips: Enter all values in meters. Ensure that Short Width and Short Length are different values (denominator cannot be zero). All input values must be 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 is the denominator (wShort - lShort) important?
A: The denominator cannot be zero, meaning Short Width and Short Length must have different values for the formula to be valid.

Q3: What units should I use for input values?
A: All measurements should be in consistent units (meters recommended). The calculator will output the result in the same units.

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

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.