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MathsAges 10-12

Area of a trapezium

Calculate the area of a trapezium from its parallel sides and perpendicular height using A = ½(a + b)h. Review suitability for your learners before teaching.

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Age band:Ages 10-12Ages 13-15

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Worksheet StudioPractice pack · Ages 10-12

Area of a trapezium

Take your time. Show your thinking.

  1. 1. Find the area of a trapezium with parallel sides 9 cm and 15 cm, and perpendicular height 5 cm.

    9 cm · 15 cm · 5 cm · Area of a trapezium

  2. 2. Find the area of a parallelogram with base 16 cm and perpendicular height 11 cm.

    16 cm · 11 cm · Area of a trapezium

  3. 3. Find the area of a trapezium with parallel sides 8 cm and 24 cm, and perpendicular height 9 cm.

    8 cm · 24 cm · 9 cm · Area of a trapezium

  4. 4. Find the area of a trapezium with parallel sides 10 cm and 32 cm, and perpendicular height 6 cm.

    10 cm · 32 cm · 6 cm · Area of a trapezium

  5. 5. Find the area of a parallelogram with base 12 cm and perpendicular height 16 cm.

    12 cm · 16 cm · Area of a trapezium

  6. 6. Find the area of a parallelogram with base 21 cm and perpendicular height 13 cm.

    21 cm · 13 cm · Area of a trapezium

  7. 7. Find the area of a trapezium with parallel sides 9 cm and 17 cm, and perpendicular height 7 cm.

    9 cm · 17 cm · 7 cm · Area of a trapezium

  8. 8. Find the area of a trapezium with parallel sides 9 cm and 23 cm, and perpendicular height 12 cm.

    9 cm · 23 cm · 12 cm · Area of a trapezium

  9. 9. Find the area of a trapezium with parallel sides 6 cm and 12 cm, and perpendicular height 18 cm.

    6 cm · 12 cm · 18 cm · Area of a trapezium

  10. 10. Find the area of a parallelogram with base 12 cm and perpendicular height 13 cm.

    12 cm · 13 cm · Area of a trapezium

  11. 11. Find the area of a trapezium with parallel sides 20 cm and 34 cm, and perpendicular height 10 cm.

    20 cm · 34 cm · 10 cm · Area of a trapezium

  12. 12. Find the area of a parallelogram with base 24 cm and perpendicular height 12 cm.

    24 cm · 12 cm · Area of a trapezium
12 questions · Seed 104729 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 10-12

Area of a trapezium

Answers and reasoning. Review before teaching.

  1. 1. Find the area of a trapezium with parallel sides 9 cm and 15 cm, and perpendicular height 5 cm.

    60 cm²

    Area of a trapezium = ½ × (9 + 15) × 5 = 60 cm².

  2. 2. Find the area of a parallelogram with base 16 cm and perpendicular height 11 cm.

    176 cm²

    Area of a parallelogram = base × height = 16 × 11 = 176 cm².

  3. 3. Find the area of a trapezium with parallel sides 8 cm and 24 cm, and perpendicular height 9 cm.

    144 cm²

    Area of a trapezium = ½ × (8 + 24) × 9 = 144 cm².

  4. 4. Find the area of a trapezium with parallel sides 10 cm and 32 cm, and perpendicular height 6 cm.

    126 cm²

    Area of a trapezium = ½ × (10 + 32) × 6 = 126 cm².

  5. 5. Find the area of a parallelogram with base 12 cm and perpendicular height 16 cm.

    192 cm²

    Area of a parallelogram = base × height = 12 × 16 = 192 cm².

  6. 6. Find the area of a parallelogram with base 21 cm and perpendicular height 13 cm.

    273 cm²

    Area of a parallelogram = base × height = 21 × 13 = 273 cm².

  7. 7. Find the area of a trapezium with parallel sides 9 cm and 17 cm, and perpendicular height 7 cm.

    91 cm²

    Area of a trapezium = ½ × (9 + 17) × 7 = 91 cm².

  8. 8. Find the area of a trapezium with parallel sides 9 cm and 23 cm, and perpendicular height 12 cm.

    192 cm²

    Area of a trapezium = ½ × (9 + 23) × 12 = 192 cm².

  9. 9. Find the area of a trapezium with parallel sides 6 cm and 12 cm, and perpendicular height 18 cm.

    162 cm²

    Area of a trapezium = ½ × (6 + 12) × 18 = 162 cm².

  10. 10. Find the area of a parallelogram with base 12 cm and perpendicular height 13 cm.

    156 cm²

    Area of a parallelogram = base × height = 12 × 13 = 156 cm².

  11. 11. Find the area of a trapezium with parallel sides 20 cm and 34 cm, and perpendicular height 10 cm.

    270 cm²

    Area of a trapezium = ½ × (20 + 34) × 10 = 270 cm².

  12. 12. Find the area of a parallelogram with base 24 cm and perpendicular height 12 cm.

    288 cm²

    Area of a parallelogram = base × height = 24 × 12 = 288 cm².

12 questions · Seed 104729 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12

Area of a trapezium

Take your time. Show your thinking.

  1. 1. Find the area of a trapezium with parallel sides 9 cm and 15 cm, and perpendicular height 5 cm.

    9 cm · 15 cm · 5 cm · Area of a trapezium

  2. 2. Find the area of a parallelogram with base 16 cm and perpendicular height 11 cm.

    16 cm · 11 cm · Area of a trapezium

  3. 3. Find the area of a trapezium with parallel sides 8 cm and 24 cm, and perpendicular height 9 cm.

    8 cm · 24 cm · 9 cm · Area of a trapezium

  4. 4. Find the area of a trapezium with parallel sides 10 cm and 32 cm, and perpendicular height 6 cm.

    10 cm · 32 cm · 6 cm · Area of a trapezium

  5. 5. Find the area of a parallelogram with base 12 cm and perpendicular height 16 cm.

    12 cm · 16 cm · Area of a trapezium

  6. 6. Find the area of a parallelogram with base 21 cm and perpendicular height 13 cm.

    21 cm · 13 cm · Area of a trapezium

  7. 7. Find the area of a trapezium with parallel sides 9 cm and 17 cm, and perpendicular height 7 cm.

    9 cm · 17 cm · 7 cm · Area of a trapezium

  8. 8. Find the area of a trapezium with parallel sides 9 cm and 23 cm, and perpendicular height 12 cm.

    9 cm · 23 cm · 12 cm · Area of a trapezium

  9. 9. Find the area of a trapezium with parallel sides 6 cm and 12 cm, and perpendicular height 18 cm.

    6 cm · 12 cm · 18 cm · Area of a trapezium

  10. 10. Find the area of a parallelogram with base 12 cm and perpendicular height 13 cm.

    12 cm · 13 cm · Area of a trapezium

  11. 11. Find the area of a trapezium with parallel sides 20 cm and 34 cm, and perpendicular height 10 cm.

    20 cm · 34 cm · 10 cm · Area of a trapezium

  12. 12. Find the area of a parallelogram with base 24 cm and perpendicular height 12 cm.

    24 cm · 12 cm · Area of a trapezium
12 questions · Seed 104729 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12

Area of a trapezium

Answers and reasoning. Review before teaching.

  1. 1. Find the area of a trapezium with parallel sides 9 cm and 15 cm, and perpendicular height 5 cm.

    60 cm²

    Area of a trapezium = ½ × (9 + 15) × 5 = 60 cm².

  2. 2. Find the area of a parallelogram with base 16 cm and perpendicular height 11 cm.

    176 cm²

    Area of a parallelogram = base × height = 16 × 11 = 176 cm².

  3. 3. Find the area of a trapezium with parallel sides 8 cm and 24 cm, and perpendicular height 9 cm.

    144 cm²

    Area of a trapezium = ½ × (8 + 24) × 9 = 144 cm².

  4. 4. Find the area of a trapezium with parallel sides 10 cm and 32 cm, and perpendicular height 6 cm.

    126 cm²

    Area of a trapezium = ½ × (10 + 32) × 6 = 126 cm².

  5. 5. Find the area of a parallelogram with base 12 cm and perpendicular height 16 cm.

    192 cm²

    Area of a parallelogram = base × height = 12 × 16 = 192 cm².

  6. 6. Find the area of a parallelogram with base 21 cm and perpendicular height 13 cm.

    273 cm²

    Area of a parallelogram = base × height = 21 × 13 = 273 cm².

  7. 7. Find the area of a trapezium with parallel sides 9 cm and 17 cm, and perpendicular height 7 cm.

    91 cm²

    Area of a trapezium = ½ × (9 + 17) × 7 = 91 cm².

  8. 8. Find the area of a trapezium with parallel sides 9 cm and 23 cm, and perpendicular height 12 cm.

    192 cm²

    Area of a trapezium = ½ × (9 + 23) × 12 = 192 cm².

  9. 9. Find the area of a trapezium with parallel sides 6 cm and 12 cm, and perpendicular height 18 cm.

    162 cm²

    Area of a trapezium = ½ × (6 + 12) × 18 = 162 cm².

  10. 10. Find the area of a parallelogram with base 12 cm and perpendicular height 13 cm.

    156 cm²

    Area of a parallelogram = base × height = 12 × 13 = 156 cm².

  11. 11. Find the area of a trapezium with parallel sides 20 cm and 34 cm, and perpendicular height 10 cm.

    270 cm²

    Area of a trapezium = ½ × (20 + 34) × 10 = 270 cm².

  12. 12. Find the area of a parallelogram with base 24 cm and perpendicular height 12 cm.

    288 cm²

    Area of a parallelogram = base × height = 24 × 12 = 288 cm².

12 questions · Seed 104729 · Age guidance, not curriculum certification