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

Formula Used:

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

Length of Rectangular Hexagon (l):

Perimeter of Rectangular Hexagon (P):

Short Length of Rectangular Hexagon (l_Short):

Short Width of Rectangular Hexagon (w_Short):

Area of Rectangular Hexagon (A):

Unit Converter ▲

Unit Converter ▼

From:	To:

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:

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

Where:

\( A \) — Area of Rectangular Hexagon (m²)
\( l \) — Length 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: This 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 geometry. It helps in determining material requirements, surface coverage, and spatial planning for irregular hexagonal shapes derived from rectangles.

4. Using the Calculator

Tips: Enter all measurements in meters. Ensure that the short length and short width values are less than or equal to the main length, and that the perimeter value is consistent with the shape dimensions.

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 an L-shaped or irregular hexagonal figure.

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, derived from rectangular shapes.

Q3: What are the constraints for valid inputs?
A: All values must be positive numbers. The short length should be less than or equal to the main length, and the perimeter should be consistent with the geometric constraints of the shape.

Q4: 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, then convert the result back to your desired unit.

Q5: What if I get a negative area result?
A: A negative area indicates inconsistent input values where the cut portion is larger than the original rectangle, which is geometrically impossible. Please verify your measurements.