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

Formula Used:

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

Length of Rectangular Hexagon:

Perimeter of Rectangular Hexagon:

Inner Width of Rectangular Hexagon:

Short Length of Rectangular Hexagon:

Area of Rectangular Hexagon:

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1. What is the 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:

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

Where:

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

Explanation: The formula calculates the area by first computing the area of the outer rectangle and then subtracting the area of the inner rectangular portion that was removed to form the hexagon shape.

3. Importance of Area Calculation

Details: Calculating the area of a rectangular hexagon is important in various fields including architecture, engineering, and manufacturing where this shape is commonly used. It helps in material estimation, cost calculation, and spatial planning.

4. Using the Calculator

Tips: Enter all measurements in meters. Ensure that the length values are positive and that the perimeter is greater than twice the length for valid calculations. All input values must be greater than zero.

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 rectangular portion from a larger rectangle, creating a shape with both internal and external right angles.

Q2: Why subtract the inner area?
A: The subtraction accounts for the rectangular portion that was removed from the original rectangle to create the hexagon shape, giving the net area of the remaining figure.

Q3: What units should I use?
A: Use consistent units (preferably meters) for all measurements. The calculator will output area in square meters (m²).

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 dimensions exceed the outer dimensions, which is not physically possible for a rectangular hexagon.