Rectangle Calculator Form



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About Rectangle Calculator

The Rectangle Calculator helps you calculate the perimeter, area, and diagonal length of a rectangle by entering its length and breadth. This guide covers how to use the calculator, the formulas, detailed examples, and FAQs for further clarification.

How to Use the Rectangle Calculator

Using the Rectangle Calculator is simple:

  • Step 1: Enter the Length of the rectangle.
  • Step 2: Enter the Breadth of the rectangle.
  • Step 3: Click on the Calculate button.
  • Step 4: View the results for Perimeter, Area, and Diagonal Length.

Formulas for Rectangle Calculator

The calculator uses the following formulas to compute the perimeter, area, and diagonal length of a rectangle:

Perimeter (P)

The perimeter (P) of a rectangle is

\( P = 2 \times ( \text{Length} + \text{Breadth}) \)

Area (A)

The area (A) of a rectangle given length and breadth is

\( A = \text{Length} \times \text{Breadth} \)

Diagonal (D)

The diagonal (D) of a rectangle is

\( D = \sqrt{\text{Length}^2 + \text{Breadth}^2} \)


Examples

Example 1

Problem: Calculate the perimeter, area, and diagonal length of a rectangle with a length of 5 units and a breadth of 3 units.

Solution

Step 1: Calculate the Perimeter

Use the formula for perimeter:

Perimeter = 2 × (Length + Breadth)

Substitute the values:

Perimeter = 2 × (5 + 3)

Calculate the result:

Perimeter = 2 × 8 = 16 units

Answer: The perimeter of the rectangle is 16 units.

Step 2: Calculate the Area

Use the formula for area:

Area = Length × Breadth

Substitute the values:

Area = 5 × 3

Calculate the result:

Area = 15 square units

Answer: The area of the rectangle is 15 square units.

Step 3: Calculate the Diagonal Length

Use the formula for diagonal length:

Diagonal = √(Length^2 + Breadth^2)

Substitute the values:

Diagonal = √(5^2 + 3^2)

Calculate the result:

Diagonal = √(25 + 9) = √34 ≈ 5.83 units

Answer: The diagonal length of the rectangle is approximately 5.83 units.

Example 2

Problem: Calculate the perimeter, area, and diagonal length of a rectangle with a length of 10 units and a breadth of 7 units.

Solution

Step 1: Calculate the Perimeter

Use the formula for perimeter:

Perimeter = 2 × (Length + Breadth)

Substitute the values:

Perimeter = 2 × (10 + 7)

Calculate the result:

Perimeter = 2 × 17 = 34 units

Answer: The perimeter of the rectangle is 34 units.

Step 2: Calculate the Area

Use the formula for area:

Area = Length × Breadth

Substitute the values:

Area = 10 × 7

Calculate the result:

Area = 70 square units

Answer: The area of the rectangle is 70 square units.

Step 3: Calculate the Diagonal Length

Use the formula for diagonal length:

Diagonal = √(Length^2 + Breadth^2)

Substitute the values:

Diagonal = √(10^2 + 7^2)

Calculate the result:

Diagonal = √(100 + 49) = √149 ≈ 12.21 units

Answer: The diagonal length of the rectangle is approximately 12.21 units.


FAQs

1. What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance around the edges of the rectangle. It is calculated using the formula \( P = 2 \times ( \text{Length} + \text{Breadth}) \).

2. What is the area of a rectangle?

The area of a rectangle is the amount of space it occupies. It is calculated using the formula \( A = \text{Length} \times \text{Breadth} \).

3. How do I find the diagonal length of a rectangle?

The diagonal length of a rectangle is the straight-line distance between two opposite corners. It can be found using the formula \( D = \sqrt{\text{Length}^2 + \text{Breadth}^2} \).