Examples
Area — Worked Examples
3 real worked examples for the Area calculator. See how we solve common scenarios with full step-by-step math.
1
Bedroom flooring
Scenario
A 12 ft × 14 ft bedroom.
Inputs
- Length
- 14 ft
- Width
- 12 ft
Calculation steps
- A = length × width
- A = 14 × 12 = 168 ft²
- Add 10% for waste: 168 × 1.10 = 184.8 ft²
Result
Buy at least 185 ft² of flooring (includes 10% waste allowance for cuts and mistakes).
2
Circular patio
Scenario
A circular patio with a 10-foot radius.
Inputs
- Radius
- 10 ft
Calculation steps
- A = π × r²
- A = 3.14159 × 10²
- A = 3.14159 × 100
- A ≈ 314 ft²
Result
Patio area: 314 ft². Add 10% waste: 345 ft² of pavers needed.
3
Triangular garden plot
Scenario
A triangular garden with base 20 ft and height 12 ft.
Inputs
- Base
- 20 ft
- Height
- 12 ft
Calculation steps
- A = ½ × base × height
- A = ½ × 20 × 12
- A = 120 ft²
Result
Garden area: 120 ft². Soil needed (6 inches deep): 120 × 0.5 = 60 cubic feet ≈ 2.2 cubic yards.