Let’s solve each problem step by step.
We need to find
Area and
Perimeter for rectangles and squares.
---
Remember:
- For a
rectangle:
→ Area = length × width
→ Perimeter = 2 × (length + width)
- For a
square:
→ All sides are equal.
→ Area = side × side
→ Perimeter = 4 × side
---
## Problem 1: Rectangle 8m by 5m
- Area = 8 × 5 =
40 m²
- Perimeter = 2 × (8 + 5) = 2 × 13 =
26 m
## Problem 2: Square with side 6m
- Area = 6 × 6 =
36 m²
- Perimeter = 4 × 6 =
24 m
## Problem 3: Rectangle 12m by 3m
- Area = 12 × 3 =
36 m²
- Perimeter = 2 × (12 + 3) = 2 × 15 =
30 m
## Problem 4: Rectangle 7m by 6m
- Area = 7 × 6 =
42 m²
- Perimeter = 2 × (7 + 6) = 2 × 13 =
26 m
## Problem 5: Rectangle 6m by 9m
Wait — this is drawn as a rectangle, but labeled 6m and 9m. So it’s not a square.
- Area = 6 × 9 =
54 m²
- Perimeter = 2 × (6 + 9) = 2 × 15 =
30 m
*(Note: Even though it looks tall, we use the given numbers.)*
## Problem 6: Rectangle 15m by 5m
- Area = 15 × 5 =
75 m²
- Perimeter = 2 × (15 + 5) = 2 × 20 =
40 m
## Problem 7: Rectangle 8m by 7m
- Area = 8 × 7 =
56 m²
- Perimeter = 2 × (8 + 7) = 2 × 15 =
30 m
## Problem 8: Square with side 9m
- Area = 9 × 9 =
81 m²
- Perimeter = 4 × 9 =
36 m
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✔ Double-checking all calculations:
1. 8×5=40, 2×(8+5)=26 ✔️
2. 6×6=36, 4×6=24 ✔️
3. 12×3=36, 2×15=30 ✔️
4. 7×6=42, 2×13=26 ✔️
5. 6×9=54, 2×15=30 ✔️
6. 15×5=75, 2×20=40 ✔️
7. 8×7=56, 2×15=30 ✔️
8. 9×9=81, 4×9=36 ✔️
All correct!
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Final Answer:
1. Area: 40 m², Perimeter: 26 m
2. Area: 36 m², Perimeter: 24 m
3. Area: 36 m², Perimeter: 30 m
4. Area: 42 m², Perimeter: 26 m
5. Area: 54 m², Perimeter: 30 m
6. Area: 75 m², Perimeter: 40 m
7. Area: 56 m², Perimeter: 30 m
8. Area: 81 m², Perimeter: 36 m
Parent Tip: Review the logic above to help your child master the concept of perimeter and area worksheet for 5th grade.