Math worksheet for calculating the area of triangles and parallelograms with labeled dimensions.

To find the area of each triangle and parallelogram, we use specific formulas:

- For triangles: Area = (base × height) ÷ 2
- For parallelograms: Area = base × height

Let’s go through each problem one by one.

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Problem 1 (Triangle)
Base = 12 cm, Height = 3 cm
Area = (12 × 3) ÷ 2 = 36 ÷ 2 = 18 cm²

Problem 2 (Triangle)
Base = 8.5 in, Height = 7 in
Area = (8.5 × 7) ÷ 2 = 59.5 ÷ 2 = 29.75 in²

Problem 3 (Triangle)
Base = 9 cm, Height = 4 cm
Area = (9 × 4) ÷ 2 = 36 ÷ 2 = 18 cm²

Problem 4 (Triangle)
This is a bit tricky — it shows two sides with perpendicular markings. The side labeled 8.2 cm is the base, and 6.6 cm is the height (since they’re at right angles).
Area = (8.2 × 6.6) ÷ 2 = 54.12 ÷ 2 = 27.06 cm²

Problem 5 (Triangle)
Base = 8.2 in, Height = 4.4 in
Area = (8.2 × 4.4) ÷ 2 = 36.08 ÷ 2 = 18.04 in²

Problem 6 (Triangle)
Base = 12 yd, Height = 9 yd
Area = (12 × 9) ÷ 2 = 108 ÷ 2 = 54 yd²

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Now for parallelograms:

Problem 7 (Parallelogram)
Base = 8 cm, Height = 4 cm
Area = 8 × 4 = 32 cm²

Problem 8 (Parallelogram)
Base = 10 cm, Height = 6 cm
Area = 10 × 6 = 60 cm²

Problem 9 (Parallelogram)
Base = 6 cm, Height = 3 cm
Area = 6 × 3 = 18 cm²

Problem 10 (Parallelogram)
Base = 16 yd, Height = 8 yd
Area = 16 × 8 = 128 yd²

Problem 11 (Parallelogram)
Base = 11 m, Height = 9 m
Area = 11 × 9 = 99 m²

Problem 12 (Parallelogram)
Base = 21.4 in, Height = 16.6 in
Area = 21.4 × 16.6 = Let’s calculate carefully:
21.4 × 16 = 342.4
21.4 × 0.6 = 12.84
Total = 342.4 + 12.84 = 355.24 in²

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Final Answer:
1. 18 cm²
2. 29.75 in²
3. 18 cm²
4. 27.06 cm²
5. 18.04 in²
6. 54 yd²
7. 32 cm²
8. 60 cm²
9. 18 cm²
10. 128 yd²
11. 99 m²
12. 355.24 in²