Let's solve each problem step by step and calculate the
area of each shape using the appropriate formulas.
---
1. Parallelogram
- Base = 6 cm
- Height = 5 cm
Formula: Area = base × height
$$
\text{Area} = 6 \times 5 = 30\ \text{cm}^2
$$
✔ Answer: 30 cm²
---
2. Trapezoid
- Bases: 5 cm and 6 cm
- Height = 2 cm
Formula: Area = $\frac{1}{2} \times (b_1 + b_2) \times h$
$$
\text{Area} = \frac{1}{2} \times (5 + 6) \times 2 = \frac{1}{2} \times 11 \times 2 = 11\ \text{cm}^2
$$
✔ Answer: 11 cm²
---
3. Rectangle
- Length = 8 cm
- Width = 5 cm
Formula: Area = length × width
$$
\text{Area} = 8 \times 5 = 40\ \text{cm}^2
$$
✔ Answer: 40 cm²
---
4. Right Triangle
- Base = 20 m
- Height = 5 m
Formula: Area = $\frac{1}{2} \times \text{base} \times \text{height}$
$$
\text{Area} = \frac{1}{2} \times 20 \times 5 = 50\ \text{m}^2
$$
✔ Answer: 50 m²
---
5. Parallelogram
- Base = 8 cm
- Height = 4 cm
Formula: Area = base × height
$$
\text{Area} = 8 \times 4 = 32\ \text{cm}^2
$$
✔ Answer: 32 cm²
---
6. Triangle
- Base = 8 cm
- Height = 4 cm
Formula: Area = $\frac{1}{2} \times \text{base} \times \text{height}$
$$
\text{Area} = \frac{1}{2} \times 8 \times 4 = 16\ \text{cm}^2
$$
✔ Answer: 16 cm²
---
7. Rectangle
- Length = 10 in
- Width = 4 in
Formula: Area = length × width
$$
\text{Area} = 10 \times 4 = 40\ \text{in}^2
$$
✔ Answer: 40 in²
---
8. Triangle
- Base = 9 cm
- Height = 4 cm
Formula: Area = $\frac{1}{2} \times \text{base} \times \text{height}$
$$
\text{Area} = \frac{1}{2} \times 9 \times 4 = 18\ \text{cm}^2
$$
✔ Answer: 18 cm²
---
9. Trapezoid
- Bases: 9 m and 7 m
- Height = 6 m
Formula: Area = $\frac{1}{2} \times (b_1 + b_2) \times h$
$$
\text{Area} = \frac{1}{2} \times (9 + 7) \times 6 = \frac{1}{2} \times 16 \times 6 = 48\ \text{m}^2
$$
✔ Answer: 48 m²
---
✔ Final Answers:
| Problem | Shape | Area |
|--------|--------------|--------------|
| 1 | Parallelogram | 30 cm² |
| 2 | Trapezoid | 11 cm² |
| 3 | Rectangle | 40 cm² |
| 4 | Triangle | 50 m² |
| 5 | Parallelogram | 32 cm² |
| 6 | Triangle | 16 cm² |
| 7 | Rectangle | 40 in² |
| 8 | Triangle | 18 cm² |
| 9 | Trapezoid | 48 m² |
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of quadrilateral area worksheet.
