To solve this worksheet, we need to calculate the
area of each parallelogram using the formula:
$$
\text{Area} = \text{base} \times \text{height}
$$
> ⚠️ Note: The height must be the
perpendicular height, not the slant side. In these diagrams, the vertical arrows represent the perpendicular height.
Let’s go through each parallelogram one by one.
---
🔹 Parallelogram 1:
- Base = 7
- Height = 5
$$
\text{Area} = 7 \times 5 = 35
$$
✔ Area = 35
---
🔹 Parallelogram 2:
- Base = 9
- Height = 3
$$
\text{Area} = 9 \times 3 = 27
$$
✔ Area = 27
---
🔹 Parallelogram 3:
- Base = 25
- Height = 20
$$
\text{Area} = 25 \times 20 = 500
$$
✔ Area = 500
---
🔹 Parallelogram 4:
- Base = 4
- Height = 2
$$
\text{Area} = 4 \times 2 = 8
$$
✔ Area = 8
---
🔹 Parallelogram 5:
- Base = 16
- Height = 8
$$
\text{Area} = 16 \times 8 = 128
$$
✔ Area = 128
---
🔹 Parallelogram 6:
- Base = 10
- Height = 5
$$
\text{Area} = 10 \times 5 = 50
$$
✔ Area = 50
---
✔ Final Answers:
| Parallelogram | Area |
|---------------|------|
| 1 | 35 |
| 2 | 27 |
| 3 | 500 |
| 4 | 8 |
| 5 | 128 |
| 6 | 50 |
---
📝 Explanation:
The area of a parallelogram is always calculated as:
$$
\text{Area} = \text{base} \times \text{height}
$$
where:
-
Base is the length of one side (horizontal in these cases),
-
Height is the perpendicular distance from the base to the opposite side (vertical arrow shown).
Even though the shapes are not drawn to scale, the numbers given are accurate for calculation.
Let me know if you'd like this formatted as a completed worksheet!
Parent Tip: Review the logic above to help your child master the concept of finding area of parallelogram worksheet.
