1. What is the Breadth of Rectangle Formula?

The formula calculates the breadth of a rectangle when given its perimeter and diagonal. It is derived from the geometric properties of rectangles and the Pythagorean theorem.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( b \) — Breadth of the rectangle (m)
• \( P \) — Perimeter of the rectangle (m)
• \( d \) — Diagonal of the rectangle (m)

Explanation: The formula combines the perimeter and diagonal measurements to determine the shorter side (breadth) of the rectangle using mathematical operations including square root.

3. Importance of Breadth Calculation

Details: Calculating the breadth of a rectangle is essential in various geometric applications, construction projects, and design calculations where rectangular dimensions need to be determined from known measurements.

4. Using the Calculator

Tips: Enter the perimeter and diagonal values in meters. Both values must be positive numbers. The calculator will compute the breadth of the rectangle.

5. Frequently Asked Questions (FAQ)

Q1: What if I get an imaginary number result?
A: This means the input values are not geometrically possible for a rectangle. Please check your measurements.

Q2: Can this formula be used for squares?
A: Yes, but for squares the length and breadth are equal, so specialized square formulas might be more appropriate.

Q3: What units should I use?
A: The calculator uses meters, but any consistent unit system will work as long as both inputs use the same units.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact based on the input values, assuming they represent a valid rectangle.

Q5: Can I calculate length using this formula?
A: Once you have the breadth, you can calculate the length using the formula: length = (perimeter/2) - breadth.