Let’s solve each triangle one by one using the formula:
Area = ½ × base × height
We’ll multiply the base and height, then divide by 2 (or multiply by 0.5). Make sure to include the correct units squared (like cm², in², etc.).
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Problem 1:
Base = 18 cm
Height = 12 cm
Area = ½ × 18 × 12 = 9 × 12 =
108 cm²
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Problem 2:
Base = 33 in
Height = 22 in
Area = ½ × 33 × 22 = 33 × 11 =
363 in²
*(Because half of 22 is 11, so 33 × 11 = 363)*
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Problem 3:
Base = 6 m
Height = 9 m
Area = ½ × 6 × 9 = 3 × 9 =
27 m²
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Problem 4:
Base = 11 cm
Height = 13 cm
Area = ½ × 11 × 13 = 11 × 6.5 =
71.5 cm²
*(Or: 11 × 13 = 143, then ÷ 2 = 71.5)*
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Problem 5:
Base = 7 yd
Height = 5 yd
Area = ½ × 7 × 5 = 3.5 × 5 =
17.5 yd²
*(Or: 7 × 5 = 35, then ÷ 2 = 17.5)*
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Problem 6:
Base = 4 mm
Height = 9 mm
Area = ½ × 4 × 9 = 2 × 9 =
18 mm²
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Problem 7:
Base = 44 mm
Height = 28 mm
Area = ½ × 44 × 28 = 22 × 28
Let’s calculate 22 × 28:
20 × 28 = 560
2 × 28 = 56
Total = 560 + 56 =
616 mm²
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Problem 8:
Base = 15 in
Height = 8 in
Area = ½ × 15 × 8 = 15 × 4 =
60 in²
*(Half of 8 is 4, so 15 × 4 = 60)*
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Final Answer:
1. 108 cm²
2. 363 in²
3. 27 m²
4. 71.5 cm²
5. 17.5 yd²
6. 18 mm²
7. 616 mm²
8. 60 in²
Parent Tip: Review the logic above to help your child master the concept of area of a triangle worksheet 6th grade.
