Let's solve each problem on the
Grade 5 Area & Perimeter Worksheet step by step.
---
🔷 Formulas to Remember:
-
Area of a Rectangle:
$$
\text{Area} = \text{length} \times \text{width}
$$
-
Perimeter of a Rectangle:
$$
\text{Perimeter} = 2 \times (\text{length} + \text{width})
$$
-
Area of a Square:
$$
\text{Area} = \text{side} \times \text{side} = s^2
$$
-
Perimeter of a Square:
$$
\text{Perimeter} = 4 \times \text{side}
$$
---
Now let’s go through each question:
---
1. Rectangle: 8m × 5m
-
Area = $8 \times 5 = 40\, \text{m}^2$
-
Perimeter = $2 \times (8 + 5) = 2 \times 13 = 26\, \text{m}$
✔ Answer:
Area:
40 m², Perimeter:
26 m
---
2. Square: 6m side
-
Area = $6 \times 6 = 36\, \text{m}^2$
-
Perimeter = $4 \times 6 = 24\, \text{m}$
✔ Answer:
Area:
36 m², Perimeter:
24 m
---
3. Rectangle: 12m × 3m
-
Area = $12 \times 3 = 36\, \text{m}^2$
-
Perimeter = $2 \times (12 + 3) = 2 \times 15 = 30\, \text{m}$
✔ Answer:
Area:
36 m², Perimeter:
30 m
---
4. Rectangle: 7m × 6m
-
Area = $7 \times 6 = 42\, \text{m}^2$
-
Perimeter = $2 \times (7 + 6) = 2 \times 13 = 26\, \text{m}$
✔ Answer:
Area:
42 m², Perimeter:
26 m
---
5. Rectangle: 6m × 9m
-
Area = $6 \times 9 = 54\, \text{m}^2$
-
Perimeter = $2 \times (6 + 9) = 2 \times 15 = 30\, \text{m}$
✔ Answer:
Area:
54 m², Perimeter:
30 m
---
6. Rectangle: 15m × 5m
-
Area = $15 \times 5 = 75\, \text{m}^2$
-
Perimeter = $2 \times (15 + 5) = 2 \times 20 = 40\, \text{m}$
✔ Answer:
Area:
75 m², Perimeter:
40 m
---
7. Rectangle: 8m × 7m
-
Area = $8 \times 7 = 56\, \text{m}^2$
-
Perimeter = $2 \times (8 + 7) = 2 \times 15 = 30\, \text{m}$
✔ Answer:
Area:
56 m², Perimeter:
30 m
---
8. Square: 9m side
-
Area = $9 \times 9 = 81\, \text{m}^2$
-
Perimeter = $4 \times 9 = 36\, \text{m}$
✔ Answer:
Area:
81 m², Perimeter:
36 m
---
✔ Final Answers Summary:
| Problem | Shape | Dimensions | Area | Perimeter |
|--------|-------------|----------------|------------|-----------|
| 1 | Rectangle | 8m × 5m | 40 m² | 26 m |
| 2 | Square | 6m | 36 m² | 24 m |
| 3 | Rectangle | 12m × 3m | 36 m² | 30 m |
| 4 | Rectangle | 7m × 6m | 42 m² | 26 m |
| 5 | Rectangle | 6m × 9m | 54 m² | 30 m |
| 6 | Rectangle | 15m × 5m | 75 m² | 40 m |
| 7 | Rectangle | 8m × 7m | 56 m² | 30 m |
| 8 | Square | 9m | 81 m² | 36 m |
---
📝 Explanation:
- For
rectangles, we used the formula:
$$
\text{Area} = l \times w,\quad \text{Perimeter} = 2(l + w)
$$
- For
squares, since all sides are equal:
$$
\text{Area} = s^2,\quad \text{Perimeter} = 4s
$$
All units are in
meters (m), so area is in
square meters (m²) and perimeter in
meters (m).
Let me know if you'd like this as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of area perimeter worksheet.
