Area of Rectangular Hexagon Given Perimeter, Short Length, Width and Short Width Calculator

Formula Used:

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

Width of Rectangular Hexagon:

Perimeter of Rectangular Hexagon:

Short Length of Rectangular Hexagon:

Short Width of Rectangular Hexagon:

Area of Rectangular Hexagon:

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1. What is Area of Rectangular Hexagon?

The Area of Rectangular Hexagon is the amount of 2-dimensional space covered or occupied by the figure. It represents the total surface area enclosed within the boundaries of a rectangular hexagon shape.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The formula calculates the area by subtracting the area of the cut rectangular portion from the area of the original rectangle.

3. Importance of Area Calculation

Details: Calculating the area of a rectangular hexagon is important in various fields including architecture, engineering, and design where this specific shape is used. It helps in material estimation, space planning, and structural analysis.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure that the short length and short width values are less than or equal to the corresponding main dimensions. 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, creating a shape with six sides.

Q2: How is this different from a regular hexagon?
A: Unlike a regular hexagon with equal sides and angles, a rectangular hexagon has sides of different lengths and right angles, formed from rectangular shapes.

Q3: What are the constraints for valid inputs?

Width must be greater than Short Width
Perimeter/2 - Width must be greater than Short Length
All values must be positive

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

Q5: What units should I use for inputs?
A: The calculator uses meters as the default unit, but you can use any consistent unit of measurement as long as all inputs use the same unit.