To find the
area of a parallelogram, we use the formula:
$$
\text{Area} = \text{base} \times \text{height}
$$
> ⚠️ Important: The height must be the
perpendicular distance from the base to the opposite side (not the slant side).
Let’s go through each parallelogram one by one.
---
Parallelogram 1
- Base = 6 cm
- Height = 6 cm (this is the perpendicular height, shown with a right angle symbol)
- Side length 7 cm is
not needed for area.
$$
\text{Area} = 6 \, \text{cm} \times 6 \, \text{cm} = 36 \, \text{cm}^2
$$
✔ Area: 36 cm²
---
Parallelogram 2
- Base = 6 cm
- Height = 5 cm (perpendicular height shown with right angle)
- The 6 cm on the side is the slant side — not used in area calculation.
$$
\text{Area} = 6 \, \text{cm} \times 5 \, \text{cm} = 30 \, \text{cm}^2
$$
✔ Area: 30 cm²
---
Parallelogram 3
- Base = 4 cm
- Height = 2.5 cm (perpendicular height shown)
- The 3 cm side is the slant side — ignore it.
$$
\text{Area} = 4 \, \text{cm} \times 2.5 \, \text{cm} = 10 \, \text{cm}^2
$$
✔ Area: 10 cm²
---
✔ Final Answers:
1.
36 cm²
2.
30 cm²
3.
10 cm²
> 📌 Remember: Always use the
base × perpendicular height, not the slanted side.
Parent Tip: Review the logic above to help your child master the concept of finding area of parallelogram worksheet.
