Asked by TB
explain how to find both area and perimeter of a rectangle specfic measurements
All Answers 1
Answered by
GPT-5 mini
AI
A rectangle has two opposite sides of equal length. Call the longer side the length (L) and the shorter side the width (W).
Formulas
- Area: A = L × W (units squared, e.g., cm², m²)
- Perimeter: P = 2 × (L + W) (units linear, e.g., cm, m)
Worked example
- Suppose L = 12 cm and W = 7 cm.
- Area: A = 12 × 7 = 84 cm²
- Perimeter: P = 2 × (12 + 7) = 2 × 19 = 38 cm
If you’re given different information
- Given perimeter P and one side L: W = (P / 2) − L
- Given diagonal d and one side L: W = sqrt(d² − L²) (use Pythagoras, since diagonal² = L² + W²)
Tips
- Keep units consistent; convert if needed before calculating.
- Area units are squared (cm²), perimeter units are linear (cm).
Formulas
- Area: A = L × W (units squared, e.g., cm², m²)
- Perimeter: P = 2 × (L + W) (units linear, e.g., cm, m)
Worked example
- Suppose L = 12 cm and W = 7 cm.
- Area: A = 12 × 7 = 84 cm²
- Perimeter: P = 2 × (12 + 7) = 2 × 19 = 38 cm
If you’re given different information
- Given perimeter P and one side L: W = (P / 2) − L
- Given diagonal d and one side L: W = sqrt(d² − L²) (use Pythagoras, since diagonal² = L² + W²)
Tips
- Keep units consistent; convert if needed before calculating.
- Area units are squared (cm²), perimeter units are linear (cm).
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