1. What is the Length of Rectangle Given Area and Diagonal Formula?

The formula calculates the length of a rectangle when the area and diagonal are known. It is derived from the Pythagorean theorem and the area formula of a rectangle.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l \) — Length of the rectangle (m)
• \( d \) — Diagonal of the rectangle (m)
• \( A \) — Area of the rectangle (m²)

Explanation: The formula combines the relationships between the rectangle's length, width, diagonal, and area to solve for the length.

3. Importance of Rectangle Length Calculation

Details: Calculating the length of a rectangle from its area and diagonal is useful in geometry problems, construction projects, and various engineering applications where complete dimensions need to be determined from partial information.

4. Using the Calculator

Tips: Enter the diagonal and area values in meters and square meters respectively. Both values must be positive numbers. The calculator will compute the length of the rectangle.

5. Frequently Asked Questions (FAQ)

Q1: What if the calculated value under the square root is negative?
A: This indicates that the given diagonal and area values cannot form a valid rectangle. Please check your inputs.

Q2: Can this formula be used for squares?
A: Yes, since a square is a special type of rectangle, the formula works for squares as well.

Q3: What units should I use?
A: The calculator uses meters for length and diagonal, and square meters for area. Ensure consistent units for accurate results.

Q4: How accurate is the calculation?
A: The calculation is mathematically exact based on the input values. The result is rounded to 4 decimal places for display.

Q5: Can I use this for other quadrilaterals?
A: No, this formula is specific to rectangles where all angles are 90 degrees.