Let me solve each problem step by step.
Problem 1: Square with side 11m
- Area = side × side = 11 × 11 = 121 m²
- Perimeter = 4 × side = 4 × 11 = 44 m
Problem 2: Rectangle 12m × 5m
- Area = length × width = 12 × 5 = 60 m²
- Perimeter = 2(length + width) = 2(12 + 5) = 2(17) = 34 m
Problem 3: Triangle with base 12m and height 10m
- Area = ½ × base × height = ½ × 12 × 10 = 60 m²
Problem 4: Square with side 5m
- Area = 5 × 5 = 25 m²
- Perimeter = 4 × 5 = 20 m
Problem 5: Triangle with base 8m and height 7m
- Area = ½ × 8 × 7 = 28 m²
Problem 6: Rectangle 9m × 3m
- Area = 9 × 3 = 27 m²
- Perimeter = 2(9 + 3) = 2(12) = 24 m
Problem 7: Square with side 9m
- Area = 9 × 9 = 81 m²
- Perimeter = 4 × 9 = 36 m
Problem 8: Triangle with base 10m and height 6m
- Area = ½ × 10 × 6 = 30 m²
Let me verify all calculations:
1. 11×11=121 ✓, 4×11=44 ✓
2. 12×5=60 ✓, 2(12+5)=34 ✓
3. ½×12×10=60 ✓
4. 5×5=25 ✓, 4×5=20 ✓
5. ½×8×7=28 ✓
6. 9×3=27 ✓, 2(9+3)=24 ✓
7. 9×9=81 ✓, 4×9=36 ✓
8. ½×10×6=30 ✓
All calculations verified.
Final Answer:
1. Area = 121 m², Perimeter = 44 m
2. Area = 60 m², Perimeter = 34 m
3. Area = 60 m²
4. Area = 25 m², Perimeter = 20 m
5. Area = 28 m²
6. Area = 27 m², Perimeter = 24 m
7. Area = 81 m², Perimeter = 36 m
8. Area = 30 m²
Parent Tip: Review the logic above to help your child master the concept of perimeter worksheet 5th grade.