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

Formula Used:

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

Length of Rectangular Hexagon:

Perimeter of Rectangular Hexagon:

Inner Length of Rectangular Hexagon:

Inner 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 the rectangular hexagon shape.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The formula calculates the area by first finding the area of the outer rectangle and then subtracting the area of the inner rectangular cutout.

3. Importance of Area Calculation

Details: Calculating the area of rectangular hexagons is important in various fields including architecture, engineering, and manufacturing where this shape is commonly used in design and construction.

4. Using the Calculator

Tips: Enter all measurements in meters. Ensure all values are positive numbers. The perimeter should be greater than twice the length for valid calculations.

5. Frequently Asked Questions (FAQ)

Q1: What is a rectangular hexagon?
A: A rectangular hexagon is a six-sided polygon formed by removing a smaller rectangle from a larger rectangle, creating a shape with both inner and outer rectangular boundaries.

Q2: Why subtract the inner area?
A: The subtraction accounts for the hollow or cut-out portion within the larger rectangular shape, giving the net area of the material or surface.

Q3: What units should I use?
A: Use consistent units (preferably meters) for all measurements. The calculator will return area in square meters.

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

Q5: What if I get a negative result?
A: A negative result indicates invalid input values where the inner area is larger than the outer area, which is not physically possible for a rectangular hexagon.