1. What is Side of Truncated Square given Perimeter and Truncated Side?

The side of a truncated square refers to the length of the original square's side before truncation. This calculation helps in determining the original dimensions of a square that has been modified by cutting off its corners.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( S \) — Side of Truncated Square (m)
• \( P \) — Perimeter of Truncated Square (m)
• \( S_{\text{Truncated}} \) — Truncated Side of Truncated Square (m)

Explanation: The formula calculates the original side length by dividing the perimeter by 4 (since a square has 4 equal sides) and subtracting the truncated portion.

3. Importance of Side Calculation

Details: Calculating the original side length of a truncated square is important in geometry, architecture, and various engineering applications where precise measurements of modified geometric shapes are required.

4. Using the Calculator

Tips: Enter the perimeter and truncated side values in meters. Both values must be positive numbers, with perimeter greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a truncated square?
A: A truncated square is a square that has had its corners cut off, creating a shape with both straight sides and truncated corners.

Q2: Why divide the perimeter by 4?
A: Since a square has four equal sides, dividing the total perimeter by 4 gives the length of one complete side before truncation.

Q3: Can the truncated side be longer than the calculated side?
A: No, the truncated side cannot exceed the calculated original side length, as it represents a portion that was removed from the original square.

Q4: What units should I use?
A: The calculator uses meters, but you can use any consistent unit of measurement as long as both inputs use the same unit.

Q5: Is this formula applicable to all truncated squares?
A: This formula applies specifically to squares where the truncation is symmetrical and the truncated portions are equal on all sides.