Area of a Rectangle Calculator
Calculate area, perimeter, and diagonal of rectangles with step-by-step solutions
Rectangle Calculator
The longer side of the rectangle
The shorter side of the rectangle
Rectangle Results
Area
Formulas used:
• Area = length × width = 0 × 0 = 0 cm²
• Perimeter = 2 × (length + width) = 2 × (0 + 0) = 0 cm
• Diagonal = √(length² + width²) = √(0² + 0²) = 0 cm
Rectangle Analysis
Example Calculation
Room Floor Area
Problem: Calculate the floor area of a rectangular room
Length: 5 meters
Width: 4 meters
Solution
Area = length × width
Area = 5 m × 4 m = 20 m²
Result: 20 square meters
Rectangle Properties
Four Right Angles
All interior angles are 90°
Opposite Sides Equal
Parallel sides have same length
Diagonals Bisect
Diagonals cut each other in half
Quick Formulas
Area
A = length × width
Perimeter
P = 2(l + w)
Diagonal
d = √(l² + w²)
Golden Ratio
φ = 1.618...
Understanding Rectangles
What is a Rectangle?
A rectangle is a quadrilateral (four-sided polygon) with four right angles (90°). The word "rectangle" comes from the Latin "rectangulus," meaning "right angle." Opposite sides of a rectangle are parallel and equal in length.
Key Characteristics
- •Four sides forming four right angles
- •Opposite sides are parallel and equal
- •Diagonals are equal in length and bisect each other
- •Has two lines of symmetry
Rectangle vs Other Shapes
Square
A special rectangle where all sides are equal
Parallelogram
A rectangle is a special parallelogram with right angles
Rhombus
Only squares are both rectangles and rhombuses
Golden Rectangle
A golden rectangle has a length-to-width ratio equal to the golden ratio (φ ≈ 1.618). This proportion appears frequently in nature and is considered aesthetically pleasing in art and architecture.
Real-World Applications
🏠 Construction
- • Floor area calculations
- • Window and door sizing
- • Room dimensions
- • Tile and flooring materials
🎨 Design & Art
- • Canvas and frame sizes
- • Screen dimensions
- • Golden rectangle proportions
- • Layout design
📐 Engineering
- • Structural calculations
- • Material requirements
- • Cross-sectional areas
- • Manufacturing specs