1. What is the Length of Rectangle given Perimeter and Diagonal Formula?

The formula calculates the length of a rectangle when its perimeter and diagonal are known. It is derived from the relationship between the sides, perimeter, and diagonal of a rectangle.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l \) — Length of Rectangle (m)
• \( P \) — Perimeter of Rectangle (m)
• \( d \) — Diagonal of Rectangle (m)

Explanation: The formula combines the perimeter and diagonal relationships to solve for the length of the rectangle.

3. Importance of Length Calculation

Details: Calculating the length of a rectangle from its perimeter and diagonal is useful in geometry problems, construction, and various engineering applications where these measurements are known.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

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

Q3: What units should I use?
A: The calculator uses meters, but you can use any consistent unit of measurement as long as both inputs are in the same unit.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact based on the geometric properties of rectangles.

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