It looks like you've uploaded an image of a worksheet titled
"Area of Triangles and Parallelograms", which includes exercises for calculating the area of triangles and parallelograms. Since I can't view images directly, I’ll guide you through solving such problems based on the typical structure of these worksheets.
Let’s assume the worksheet contains:
- Several
triangles with given base and height.
- Several
parallelograms with given base and height.
- Instructions to calculate the area using formulas.
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🔷 Formulas You Need:
1.
Area of a Triangle:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
2.
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.
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📐 Example Problems (Based on Common Worksheet Layout):
#### 🔹
Triangles:
Suppose one triangle has:
- Base = 10 cm
- Height = 6 cm
Then:
\[
\text{Area} = \frac{1}{2} \times 10 \times 6 = 30 \text{ cm}^2
\]
Another triangle:
- Base = 8 cm
- Height = 5 cm
\[
\text{Area} = \frac{1}{2} \times 8 \times 5 = 20 \text{ cm}^2
\]
---
#### 🔹
Parallelograms:
Suppose one parallelogram has:
- Base = 7 cm
- Height = 4 cm
\[
\text{Area} = 7 \times 4 = 28 \text{ cm}^2
\]
Another:
- Base = 9 cm
- Height = 3 cm
\[
\text{Area} = 9 \times 3 = 27 \text{ cm}^2
\]
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✔ Step-by-Step Solution Guide:
1.
Identify the base and height for each shape.
- For triangles: Make sure the height is drawn perpendicularly from the base.
- For parallelograms: Height is not the slanted side — it's the vertical (perpendicular) distance.
2.
Plug into the correct formula:
- Triangle: Multiply base × height, then divide by 2.
- Parallelogram: Multiply base × height.
3.
Label your answer with square units (e.g., cm², in²).
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💡 Tips:
- Always double-check that you're using the
correct height — not the side length.
- If the height isn’t labeled, look for a dashed line or right-angle symbol indicating perpendicular height.
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If you can describe or list the specific dimensions of the shapes in the worksheet (e.g., “Triangle 1: base = 12, height = 8”), I can solve them exactly for you!
Would you like to provide those details?
Parent Tip: Review the logic above to help your child master the concept of area of triangle and parallelogram worksheet.
