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

Formula Used:

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

Width of Rectangular Hexagon:

Perimeter of Rectangular Hexagon:

Area of Rectangular Hexagon:

m²

Short Length of Rectangular Hexagon:

Short Width of Rectangular Hexagon:

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1. What is Short Width of Rectangular Hexagon?

Short Width of Rectangular Hexagon is the remaining length of the rectangle width from which the Rectangular Hexagon shape forms, after removing the cut rectangular portion. It represents one of the key dimensions in determining the complete geometry of a rectangular hexagon.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the remaining width dimension after accounting for the cut portion, using the relationship between perimeter, area, and the other known dimensions.

3. Importance of Short Width Calculation

Details: Calculating the short width is essential for accurately determining the complete geometry of rectangular hexagons, which is crucial in various engineering, architectural, and geometric applications where precise dimensions are required.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure that the perimeter is greater than twice the width, and that the denominator (P/2 - w - lShort) is not zero to avoid division errors.

5. Frequently Asked Questions (FAQ)

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

Q2: When would I need to calculate the short width?
A: This calculation is needed in architectural design, manufacturing, and geometric analysis when working with rectangular hexagon shapes and you need to determine the missing dimension.

Q3: What units should I use for the inputs?
A: All inputs should be in consistent units (meters recommended), and the result will be in the same units.

Q4: What if I get a division by zero error?
A: This occurs when P/2 - w - lShort equals zero, which means the inputs don't form a valid rectangular hexagon geometry. Check your input values.

Q5: Can this formula be used for any rectangular hexagon?
A: Yes, this formula applies to all rectangular hexagons where the cut portion is rectangular and parallel to the original rectangle's sides.