Grade 5 Area & Perimeter Worksheet featuring geometric shapes and measurements for calculating area and perimeter.

Let's solve each problem step by step using the formulas for area and perimeter of different shapes.

---

🔷 Formulas:

- Rectangle:
- Area = length × width
- Perimeter = 2 × (length + width)

- Square:
- Area = side × side = side²
- Perimeter = 4 × side

- Triangle:
- Area = (base × height) ÷ 2
- Perimeter = sum of all three sides
*(Note: For problems with only base and height, we can’t compute perimeter unless all sides are given. But in this worksheet, only base and height are provided — so we'll assume they want area only, or that the triangle is equilateral/isoceles? But since it’s not specified, we’ll calculate only area where possible.)*

---

Now let’s go through each question:

---

1. Rectangle: 20m × 4m

- Area = length × width = 20 × 4 = 80 m²
- Perimeter = 2 × (20 + 4) = 2 × 24 = 48 m

✔ Answer:
Area = 80 m², Perimeter = 48 m

---

2. Square: 10m side

- Area = 10 × 10 = 100 m²
- Perimeter = 4 × 10 = 40 m

✔ Answer:
Area = 100 m², Perimeter = 40 m

---

3. Rectangle: 9m × 3m

- Area = 9 × 3 = 27 m²
- Perimeter = 2 × (9 + 3) = 2 × 12 = 24 m

✔ Answer:
Area = 27 m², Perimeter = 24 m

---

4. Triangle: Base = 7m, Height = 8m

- Area = (base × height) ÷ 2 = (7 × 8) ÷ 2 = 56 ÷ 2 = 28 m²

⚠️ Perimeter cannot be calculated because we don't know the lengths of the other two sides. So only area is asked here.

✔ Answer:
Area = 28 m²
*(Perimeter: Not enough info)*

---

5. Triangle: Base = 10m, Height = 12m

- Area = (10 × 12) ÷ 2 = 120 ÷ 2 = 60 m²

⚠️ Again, no side lengths given to find perimeter.

✔ Answer:
Area = 60 m²
*(Perimeter: Not enough info)*

---

6. Square: 12m side

- Area = 12 × 12 = 144 m²
- Perimeter = 4 × 12 = 48 m

✔ Answer:
Area = 144 m², Perimeter = 48 m

---

7. Square: 4m side

- Area = 4 × 4 = 16 m²
- Perimeter = 4 × 4 = 16 m

✔ Answer:
Area = 16 m², Perimeter = 16 m

---

8. Rectangle: 11m × 3m

- Area = 11 × 3 = 33 m²
- Perimeter = 2 × (11 + 3) = 2 × 14 = 28 m

✔ Answer:
Area = 33 m², Perimeter = 28 m

---

✔ Final Answers Summary:

| Problem | Shape | Dimensions | Area | Perimeter |
|--------|-------------|--------------------|-------------|----------------|
| 1 | Rectangle | 20m × 4m | 80 m² | 48 m |
| 2 | Square | 10m | 100 m² | 40 m |
| 3 | Rectangle | 9m × 3m | 27 m² | 24 m |
| 4 | Triangle | Base 7m, H=8m | 28 m² | Not possible |
| 5 | Triangle | Base 10m, H=12m | 60 m² | Not possible |
| 6 | Square | 12m | 144 m² | 48 m |
| 7 | Square | 4m | 16 m² | 16 m |
| 8 | Rectangle | 11m × 3m | 33 m² | 28 m |

---

💡 Note: For triangles #4 and #5, only area can be computed because side lengths are missing. If more information were given (like it being an equilateral or isosceles triangle), we could compute perimeter, but as per the image, it's not possible.

Let me know if you'd like a version of this worksheet filled out!