Short Length Of Rectangular Hexagon Given Area, Perimeter, Length And Short Width Calculator

Formula Used:

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

Length of Rectangular Hexagon (l):

Perimeter of Rectangular Hexagon (P):

Area of Rectangular Hexagon (A):

m²

Short Width of Rectangular Hexagon (w_Short):

Short Length of Rectangular Hexagon (l_Short):

Unit Converter ▲

Unit Converter ▼

From:	To:

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 is an important geometric measurement in various engineering and architectural applications.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the short length by considering the geometric relationships between the length, perimeter, area, and short width of a rectangular hexagon.

3. Importance of Short Length Calculation

Details: Calculating the short length is essential for determining the complete dimensions of a rectangular hexagon, which is crucial in various fields including construction, manufacturing, and geometric design.

4. Using the Calculator

Tips: Enter all values in meters (for length measurements) and square meters (for area). Ensure all values are positive and the denominator in the formula doesn't become zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rectangular Hexagon?
A: A rectangular hexagon is a geometric shape formed by cutting smaller rectangles from the corners of a larger rectangle, resulting in a six-sided polygon.

Q2: When might this calculation be undefined?
A: The calculation becomes undefined when the denominator \((\frac{P}{2} - l - w_{Short})\) equals zero, which indicates an invalid geometric configuration.

Q3: Can this formula be used for any rectangular hexagon?
A: This formula applies specifically to rectangular hexagons where the cut portions are rectangular and the remaining shape maintains specific geometric properties.

Q4: What are practical applications of this calculation?
A: This calculation is used in architectural design, manufacturing processes, material cutting optimization, and various engineering applications involving polygonal shapes.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise when the input values accurately represent a valid rectangular hexagon configuration.