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.
---
1. First Parallelogram
- Base = 7
- Height = 5
$$
\text{Area} = 7 \times 5 = 35
$$
✔ Area = 35
---
2. Second Parallelogram
- Base = 9
- Height = 3
$$
\text{Area} = 9 \times 3 = 27
$$
✔ Area = 27
---
3. Third Parallelogram
- Base = 25
- Height = 20
$$
\text{Area} = 25 \times 20 = 500
$$
✔ Area = 500
---
4. Fourth Parallelogram
- Base = 4
- Height = 2
$$
\text{Area} = 4 \times 2 = 8
$$
✔ Area = 8
---
5. Fifth Parallelogram
- Base = 16
- Height = 8
$$
\text{Area} = 16 \times 8 = 128
$$
✔ Area = 128
---
6. Sixth Parallelogram
- Base = 10
- Height = 5
$$
\text{Area} = 10 \times 5 = 50
$$
✔ Area = 50
---
✔ Final Answers:
1. Area =
35
2. Area =
27
3. Area =
500
4. Area =
8
5. Area =
128
6. Area =
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 (usually the bottom side).
-
Height is the perpendicular distance from the base to the opposite side (shown by the vertical arrow in the diagram).
Even though the shapes look skewed or stretched, the given numbers are what matter — the drawings are just for illustration.
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 area of parallelograms worksheet.