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

Formula Used:

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

Width 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 the Area of Rectangular Hexagon?

The Area of Rectangular Hexagon is the amount of 2-dimensional space covered or occupied by the figure. It is calculated by subtracting the area of the inner rectangle from the area of the outer rectangle.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( w \) — Width 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 using width and derived length from perimeter, then subtracting the area of the inner 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 precise measurements of complex shapes are required.

4. Using the Calculator

Tips: Enter all measurements in meters. Ensure all values are positive numbers. The calculator will compute the area based on the provided dimensions.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rectangular Hexagon?
A: A Rectangular Hexagon is a geometric shape formed by removing a smaller rectangle from a larger rectangle, creating a hexagon with six sides.

Q2: Why is the perimeter divided by 2 in the formula?
A: The perimeter is divided by 2 to find the sum of length and width of the outer rectangle, which is then used to derive the length component.

Q3: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert all measurements to meters before calculation.

Q4: What if the inner dimensions are larger than the outer dimensions?
A: The formula requires that inner dimensions be smaller than outer dimensions. Otherwise, it would result in a negative area, which is not physically meaningful.

Q5: How accurate is the calculation?
A: The calculation is mathematically precise based on the input values. The result is rounded to 4 decimal places for practical use.