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Inner Width of Frame given Area, Outer Width, Inner and Outer Lengths Calculator

Formula Used:

\[ w_{Inner} = \frac{(l_{Outer} \times w_{Outer}) - A}{l_{Inner}} \]

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1. What is the Inner Width of Frame?

The Inner Width of Frame is the breadth or shortest side of the inner rectangle of the Frame. It represents the horizontal measurement of the inner opening of a frame structure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ w_{Inner} = \frac{(l_{Outer} \times w_{Outer}) - A}{l_{Inner}} \]

Where:

Explanation: This formula calculates the inner width by subtracting the frame area from the total outer area and dividing by the inner length.

3. Importance of Frame Calculations

Details: Accurate frame dimension calculations are crucial for architectural design, picture framing, window and door installations, and various construction applications where precise measurements are essential.

4. Using the Calculator

Tips: Enter all dimensions in meters and area in square meters. Ensure all values are positive numbers with outer dimensions larger than corresponding inner dimensions.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for input values?
A: All linear dimensions should be in meters (m) and area in square meters (m²) for consistent results.

Q2: Can this calculator handle different unit systems?
A: The calculator expects metric units. Convert imperial units to metric before calculation for accurate results.

Q3: What if the calculated inner width is negative?
A: A negative result indicates inconsistent input values where the frame area exceeds the outer area or inner length is too large relative to outer dimensions.

Q4: How precise are the calculations?
A: Results are calculated with high precision (6 decimal places) but always verify critical measurements in practical applications.

Q5: Can this formula be used for irregular frames?
A: This formula applies specifically to rectangular frames. Different approaches are needed for irregular or circular frame shapes.

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