Area and Perimeter worksheet with six geometry problems for calculating area and perimeter of shapes.

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
- Perimeter = 4 × side

- Triangle:
- Area = (base × height) ÷ 2
- Perimeter = sum of all three sides *(Note: Only base and height are given in some cases, so we can only calculate area unless all sides are known.)*

---

Now let’s go through each question:

---

1. Rectangle: 10m × 4m

- Area = length × width = 10 × 4 = 40 m²
- Perimeter = 2 × (10 + 4) = 2 × 14 = 28 m

✔ Answer:
Area = 40 m², Perimeter = 28 m

---

2. Triangle: base = 9m, height = 6m

- Area = (base × height) ÷ 2 = (9 × 6) ÷ 2 = 54 ÷ 2 = 27 m²
- Perimeter: Not enough info (only base and height given; missing side lengths). So cannot determine perimeter.

✔ Answer:
Area = 27 m², Perimeter = Not enough information

---

3. Square: side = 7m

- Area = 7 × 7 = 49 m²
- Perimeter = 4 × 7 = 28 m

✔ Answer:
Area = 49 m², Perimeter = 28 m

---

4. Triangle: base = 8m, height = 12m

- Area = (base × height) ÷ 2 = (8 × 12) ÷ 2 = 96 ÷ 2 = 48 m²
- Perimeter: Again, only base and height given — no side lengths → cannot determine perimeter

✔ Answer:
Area = 48 m², Perimeter = Not enough information

---

5. Rectangle: 20m × 7m

- Area = 20 × 7 = 140 m²
- Perimeter = 2 × (20 + 7) = 2 × 27 = 54 m

✔ Answer:
Area = 140 m², Perimeter = 54 m

---

6. Rectangle: 11m × 8m

- Area = 11 × 8 = 88 m²
- Perimeter = 2 × (11 + 8) = 2 × 19 = 38 m

✔ Answer:
Area = 88 m², Perimeter = 38 m

---

✔ Final Answers:

| # | Shape | Area | Perimeter |
|---|-------------|------------|---------------|
| 1 | Rectangle | 40 m² | 28 m |
| 2 | Triangle | 27 m² | Not enough info |
| 3 | Square | 49 m² | 28 m |
| 4 | Triangle | 48 m² | Not enough info |
| 5 | Rectangle | 140 m² | 54 m |
| 6 | Rectangle | 88 m² | 38 m |

---

💡 Note: For triangles, unless all three side lengths are provided, we cannot compute the perimeter. We can only find the area using base and height.

Let me know if you'd like this formatted as a filled-in worksheet!