1. What is the Breadth of Rectangle Formula?

The formula calculates the breadth of a rectangle when given its area and diagonal. It's derived from the Pythagorean theorem and the area formula of a rectangle.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( b \) — Breadth of the rectangle (m)
• \( d \) — Diagonal of the rectangle (m)
• \( A \) — Area of the rectangle (m²)

Explanation: The formula is derived by solving the system of equations: \( A = l \times b \) and \( d^2 = l^2 + b^2 \), where \( l \) is the length of the rectangle.

3. Importance of Rectangle Calculations

Details: Calculating rectangle dimensions is fundamental in geometry, architecture, engineering, and various practical applications where rectangular shapes are involved.

4. Using the Calculator

Tips: Enter the diagonal and area values in meters and square meters respectively. Both values must be positive numbers for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What if I get an "imaginary number" error?
A: This means the input values are inconsistent with a real rectangle. Check that the diagonal is at least √2 times the square root of the area.

Q2: Can this formula be used for squares?
A: Yes, squares are a special case of rectangles. For a square, the formula will give the same value for both length and breadth.

Q3: What units should I use?
A: Use consistent units (e.g., meters for diagonal, square meters for area). The calculator will output in the same length unit.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact for the given inputs, assuming perfect rectangular geometry.

Q5: Can I calculate length using this formula?
A: Once you have the breadth, you can calculate length using \( l = A / b \), where A is area and b is breadth.