Calculate the area, perimeter, and diagonal of a rectangle. Enter the length and width to get instant results with step-by-step calculations and visual diagrams.
A square is a rectangle with equal sides. Enter the side length to calculate its properties.
Given: Length = 10 cm, Width = 5 cm
Solution:
A = 10 × 5 = 50 cm²
P = 2(10 + 5) = 30 cm
d = √(100 + 25) = √125 ≈ 11.18 cm
Given: Room 12 ft × 10 ft
Solution:
A = 12 × 10 = 120 ft²
P = 2(12 + 10) = 44 ft
Flooring needed: 120 sq ft
Given: Side = 8 m
Solution:
A = 8² = 64 m²
P = 4 × 8 = 32 m
d = 8√2 ≈ 11.31 m
Given: Frame 16 in × 12 in
Solution:
A = 16 × 12 = 192 in²
P = 2(16 + 12) = 56 in
Diagonal ≈ 20 in
Given: Length = 16.18, Width = 10
Solution:
A = 161.8 units²
Ratio (phi) ≈ 1.618
Classic golden ratio proportions
A rectangle is a four-sided polygon with four right angles (90 degrees). Opposite sides are parallel and equal in length. A square is a special type of rectangle where all sides are equal.
| Property | Formula | Description |
|---|---|---|
| Area | A = l × w | Space enclosed by the rectangle |
| Perimeter | P = 2(l + w) | Distance around the rectangle |
| Diagonal | d = √(l² + w²) | Distance between opposite corners |
When length equals width (a square), the formulas simplify to: