Let’s solve each trapezium area step by step.
The formula for the area of a trapezium (or trapezoid) is:
Area = ½ × (sum of parallel sides) × height
Or written as:
A = ½ × (a + b) × h
Where:
- a and b are the lengths of the two parallel sides (top and bottom)
- h is the perpendicular height between them
We’ll go one by one.
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1st Trapezium:
Top = 6 cm, Bottom = 8 cm, Height = 5 cm
A = ½ × (6 + 8) × 5 = ½ × 14 × 5 = 7 × 5 =
35 cm²
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2nd Trapezium:
Top = 5 cm, Bottom = 7 cm, Height = 6 cm
A = ½ × (5 + 7) × 6 = ½ × 12 × 6 = 6 × 6 =
36 cm²
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3rd Trapezium:
Top = 6 cm, Bottom = 8 cm, Height = 6 cm
A = ½ × (6 + 8) × 6 = ½ × 14 × 6 = 7 × 6 =
42 cm²
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4th Trapezium:
Top = 7 cm, Bottom = 9 cm, Height = 8 cm
A = ½ × (7 + 9) × 8 = ½ × 16 × 8 = 8 × 8 =
64 cm²
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5th Trapezium:
Top = 4 cm, Bottom = 6 cm, Height = 4 cm
A = ½ × (4 + 6) × 4 = ½ × 10 × 4 = 5 × 4 =
20 cm²
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6th Trapezium:
Top = 7 cm, Bottom = 9 cm, Height = 6 cm
A = ½ × (7 + 9) × 6 = ½ × 16 × 6 = 8 × 6 =
48 cm²
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7th Trapezium:
Top = 4 cm, Bottom = 5 cm, Height = 4 cm
A = ½ × (4 + 5) × 4 = ½ × 9 × 4 = 4.5 × 4 =
18 cm²
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8th Trapezium:
Top = 6.4 cm, Bottom = 7.6 cm, Height = 5 cm
A = ½ × (6.4 + 7.6) × 5 = ½ × 14 × 5 = 7 × 5 =
35 cm²
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9th Trapezium:
Top = 5.5 cm, Bottom = 6.5 cm, Height = 6 cm
A = ½ × (5.5 + 6.5) × 6 = ½ × 12 × 6 = 6 × 6 =
36 cm²
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All calculations checked. Now here are the final answers in order:
Final Answer:
35 cm², 36 cm², 42 cm², 64 cm², 20 cm², 48 cm², 18 cm², 35 cm², 36 cm²
Parent Tip: Review the logic above to help your child master the concept of trapezoid area worksheet.
