1. What is the Breadth of Rectangle Formula?

The formula calculates the breadth of a rectangle when given its perimeter and area. It's derived from the basic rectangle formulas: Perimeter = 2 × (Length + Breadth) and Area = Length × Breadth.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( b \) — Breadth of Rectangle (m)
• \( P \) — Perimeter of Rectangle (m)
• \( A \) — Area of Rectangle (m²)

Explanation: The formula solves for breadth by rearranging the perimeter and area equations and using the quadratic formula.

3. Importance of Rectangle Dimensions

Details: Calculating precise rectangle dimensions is crucial in various fields including architecture, engineering, construction, and design where accurate measurements are essential.

4. Using the Calculator

Tips: Enter the perimeter and area values in meters and square meters respectively. Both values must be positive numbers, and the area must be mathematically possible for the given perimeter.

5. Frequently Asked Questions (FAQ)

Q1: What if I get a negative value under the square root?
A: This indicates that the input values are mathematically impossible - a rectangle cannot have both the given perimeter and area simultaneously.

Q2: Can I use different units?
A: Yes, but ensure consistency - both perimeter and area must use compatible units (e.g., cm and cm², or ft and ft²).

Q3: How accurate is this calculation?
A: The calculation is mathematically exact, but practical accuracy depends on the precision of your input measurements.

Q4: What's the relationship between perimeter and area?
A: For a fixed perimeter, a square maximizes the area. For a fixed area, a square minimizes the perimeter.

Q5: Can this formula be used for squares?
A: Yes, for squares the formula will correctly calculate the side length when both perimeter and area are provided.