Let's solve each part of the problem step by step. The images show three parallelograms, and we are likely being asked to find the
area of each parallelogram.
---
🔷 Formula for Area of a Parallelogram:
$$
\text{Area} = \text{base} \times \text{height}
$$
> Note: The height must be the perpendicular distance from the base to the opposite side.
---
✔ a) First Parallelogram
- Base = 11 cm
- Height = 9 cm (given as perpendicular dashed line)
$$
\text{Area} = 11 \, \text{cm} \times 9 \, \text{cm} = 99 \, \text{cm}^2
$$
✔ Answer: 99 cm²
---
✔ b) Second Parallelogram
- Base = 98 mm
- Height = 36 mm (perpendicular dashed line)
$$
\text{Area} = 98 \, \text{mm} \times 36 \, \text{mm} = 3528 \, \text{mm}^2
$$
✔ Answer: 3528 mm²
---
✔ c) Third Parallelogram
- Side length = 20 cm
- Height = 3 cm (perpendicular dashed line)
Here, the
height is 3 cm, and it corresponds to the base that is
not labeled directly. But since the height is drawn perpendicular to one side, and the side of 20 cm is adjacent, we assume:
👉 The
base is the side to which the height of 3 cm is perpendicular.
So, even though the base isn't labeled, we can use the given side of 20 cm
as the base, and the height is 3 cm.
$$
\text{Area} = 20 \, \text{cm} \times 3 \, \text{cm} = 60 \, \text{cm}^2
$$
✔ Answer: 60 cm²
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✔ Final Answers:
a) $ 99 \, \text{cm}^2 $
b) $ 3528 \, \text{mm}^2 $
c) $ 60 \, \text{cm}^2 $
Let me know if you'd like these converted into other units or explained differently!
Parent Tip: Review the logic above to help your child master the concept of finding area of parallelogram worksheet.