Answer
A. Perimeter of Shapes
- Rectangle: 12 cm + 8 cm → Perimeter = 2 × (12 + 8) = 2 × 20 = 40 cm
- Square: side 7 cm → Perimeter = 4 × 7 = 28 cm
- Triangle: 5 + 6 + 7 → Perimeter = 18 cm
- Rectangular garden: 15 m + 10 m → Perimeter = 2 × (15 + 10) = 2 × 25 = 50 m
- Pentagon: 6 cm each side → Perimeter = 5 × 6 = 30 cm
B. Area of Shapes
- Rectangle: 10 × 5 = 50 m²
- Square: 9 × 9 = 81 cm²
- Triangle: (1/2) × 8 × 6 = 24 → 24 m²
- Parallelogram: 12 × 5 = 60 cm²
- Rectangle: 7 × 4 = 28 m²
C. Word Problems
- Playground 40 × 25:
- Perimeter = 2 × (40 + 25) = 2 × 65 = 130 m
- Area = 40 × 25 = 1000 m²
- Square garden: Area = 64 → Side = √64 = 8 m → Perimeter = 4 × 8 = 32 m
- Triangle: (1/2) × 10 × 8 = 40 cm²
- Fencing field 50 × 30: Perimeter = 2 × (50 + 30) = 2 × 80 = 160 m fencing needed
- Parallelogram: Area = 96, base = 12 → Height = Area ÷ Base = 96 ÷ 12 = 8 cm
D. Challenge Questions
- Rectangle perimeter = 60, length = 18 → 2 × (18 + width) = 60 → 36 + 2 × width = 60 → 2 × width = 24 → Width = 12 m
- Triangle sides 7, 10, 5 → Perimeter = 7 + 10 + 5 = 22 cm
- Rectangle area = 120, length = 15 → Width = 120 ÷ 15 = 8 m