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

Formula Used:

\[ l_{Short} = \frac{A + (l_{Inner} \times w_{Inner})}{w} - l_{Inner} \]

Area of Rectangular Hexagon (A):

m²

Inner Length of Rectangular Hexagon (l_Inner):

Inner Width of Rectangular Hexagon (w_Inner):

Width of Rectangular Hexagon (w):

Short Length of Rectangular Hexagon (l_Short):

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1. What is Short Length of Rectangular Hexagon?

Short Length of Rectangular Hexagon is the remaining length of the rectangle length from which the Rectangular Hexagon shape forms, after removing the cut rectangular portion. It represents one of the distinctive dimensions in this geometric shape.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_{Short} = \frac{A + (l_{Inner} \times w_{Inner})}{w} - l_{Inner} \]

Where:

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

Explanation: This formula calculates the short length by considering the total area and the dimensions of both the outer rectangle and the removed inner rectangular portion.

3. Importance of Short Length Calculation

Details: Calculating the short length is essential for geometric analysis, architectural design, and engineering applications involving rectangular hexagon shapes. It helps in determining the complete dimensional properties of the figure.

4. Using the Calculator

Tips: Enter all values in meters (m) and square meters (m²). Ensure all input values are positive numbers. The calculator will compute the short length 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 rectangular portion from a larger rectangle, resulting in a six-sided polygon.

Q2: When is this calculation typically used?
A: This calculation is used in architectural design, manufacturing, and geometric analysis where rectangular hexagon shapes are involved.

Q3: What units should I use for the inputs?
A: All linear dimensions should be in meters (m) and area in square meters (m²). The calculator will output the short length in meters.

Q4: Can this formula be used for any rectangular hexagon?
A: Yes, this formula applies to all rectangular hexagons where the inner rectangle is completely contained within the outer rectangle.

Q5: What if I get a negative result?
A: A negative result indicates that the input values may not represent a valid rectangular hexagon configuration. Please verify your input dimensions.