Rectangle Calculator
Calculate the area, perimeter, and diagonal of a rectangle given its length and width. This calculator provides step-by-step solutions and visual representation of the rectangle.
Rectangle Properties
| Area (A) | A = l × w = 50.00 m² |
|---|---|
| Perimeter (P) | P = 2(l + w) = 30.00 m |
| Diagonal (d) | d = √(l² + w²) = 11.18 m |
| Length (l) | 10.00 m |
| Width (w) | 5.00 m |
About the Rectangle Calculator
A rectangle is a quadrilateral with four right angles. It has two pairs of equal-length sides, with length (l) typically being the longer side and width (w) the shorter side. This calculator helps you compute key properties of a rectangle based on its dimensions.
Rectangle Formulas
The calculator uses the following formulas for rectangle calculations:
- Area (A): A = l × w
- Perimeter (P): P = 2(l + w)
- Diagonal (d): d = √(l² + w²)
How the Calculations Work
Here's a step-by-step explanation of how each property is calculated:
Area Calculation
The area of a rectangle is calculated by multiplying its length by its width. For example, a rectangle with length 10 meters and width 5 meters has an area of 50 square meters.
Perimeter Calculation
The perimeter is the total distance around the rectangle. Since opposite sides are equal, we add the length and width, then multiply by 2. Using the same example: (10 + 5) × 2 = 30 meters.
Diagonal Calculation
The diagonal divides the rectangle into two right-angled triangles. Using the Pythagorean theorem: √(10² + 5²) = √(100 + 25) = √125 ≈ 11.18 meters.
Practical Applications
Rectangle calculations are used in many real-world scenarios:
- Construction: Calculating floor area for flooring materials
- Landscaping: Determining fence lengths for rectangular yards
- Interior Design: Planning furniture placement in rectangular rooms
- Fabrication: Calculating material requirements for rectangular objects
Unit Conversion
The calculator automatically handles unit conversions for all results. Simply select your preferred unit from the dropdown menu, and all calculations will be displayed in that unit.