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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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Worksheet StudioPractice pack · Ages 10-12

Area of a trapezium

Take your time. Show your thinking.

  1. 1. Find the area of a parallelogram with base 16 cm and perpendicular height 15 cm.

    16 cm · 15 cm · Area of a trapezium
  2. 2. Find the area of a parallelogram with base 23 cm and perpendicular height 6 cm.

    23 cm · 6 cm · Area of a trapezium
  3. 3. Find the area of a trapezium with parallel sides 14 cm and 32 cm, and perpendicular height 12 cm.

    14 cm · 32 cm · 12 cm · Area of a trapezium
  4. 4. Find the area of a parallelogram with base 6 cm and perpendicular height 3 cm.

    6 cm · 3 cm · Area of a trapezium
  5. 5. Find the area of a trapezium with parallel sides 17 cm and 33 cm, and perpendicular height 4 cm.

    17 cm · 33 cm · 4 cm · Area of a trapezium
  6. 6. Find the area of a parallelogram with base 11 cm and perpendicular height 8 cm.

    11 cm · 8 cm · Area of a trapezium
  7. 7. Find the area of a parallelogram with base 20 cm and perpendicular height 18 cm.

    20 cm · 18 cm · Area of a trapezium
  8. 8. Find the area of a trapezium with parallel sides 21 cm and 25 cm, and perpendicular height 14 cm.

    21 cm · 25 cm · 14 cm · Area of a trapezium
  9. 9. Find the area of a trapezium with parallel sides 23 cm and 35 cm, and perpendicular height 3 cm.

    23 cm · 35 cm · 3 cm · Area of a trapezium
  10. 10. Find the area of a trapezium with parallel sides 10 cm and 14 cm, and perpendicular height 16 cm.

    10 cm · 14 cm · 16 cm · Area of a trapezium
  11. 11. Find the area of a trapezium with parallel sides 17 cm and 21 cm, and perpendicular height 17 cm.

    17 cm · 21 cm · 17 cm · Area of a trapezium
  12. 12. Find the area of a trapezium with parallel sides 14 cm and 22 cm, and perpendicular height 17 cm.

    14 cm · 22 cm · 17 cm · Area of a trapezium
12 questions · Seed 46 · 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 parallelogram with base 16 cm and perpendicular height 15 cm.

    240 cm²

    Area of a parallelogram = base × height = 16 × 15 = 240 cm².

  2. 2. Find the area of a parallelogram with base 23 cm and perpendicular height 6 cm.

    138 cm²

    Area of a parallelogram = base × height = 23 × 6 = 138 cm².

  3. 3. Find the area of a trapezium with parallel sides 14 cm and 32 cm, and perpendicular height 12 cm.

    276 cm²

    Area of a trapezium = ½ × (14 + 32) × 12 = 276 cm².

  4. 4. Find the area of a parallelogram with base 6 cm and perpendicular height 3 cm.

    18 cm²

    Area of a parallelogram = base × height = 6 × 3 = 18 cm².

  5. 5. Find the area of a trapezium with parallel sides 17 cm and 33 cm, and perpendicular height 4 cm.

    100 cm²

    Area of a trapezium = ½ × (17 + 33) × 4 = 100 cm².

  6. 6. Find the area of a parallelogram with base 11 cm and perpendicular height 8 cm.

    88 cm²

    Area of a parallelogram = base × height = 11 × 8 = 88 cm².

  7. 7. Find the area of a parallelogram with base 20 cm and perpendicular height 18 cm.

    360 cm²

    Area of a parallelogram = base × height = 20 × 18 = 360 cm².

  8. 8. Find the area of a trapezium with parallel sides 21 cm and 25 cm, and perpendicular height 14 cm.

    322 cm²

    Area of a trapezium = ½ × (21 + 25) × 14 = 322 cm².

  9. 9. Find the area of a trapezium with parallel sides 23 cm and 35 cm, and perpendicular height 3 cm.

    87 cm²

    Area of a trapezium = ½ × (23 + 35) × 3 = 87 cm².

  10. 10. Find the area of a trapezium with parallel sides 10 cm and 14 cm, and perpendicular height 16 cm.

    192 cm²

    Area of a trapezium = ½ × (10 + 14) × 16 = 192 cm².

  11. 11. Find the area of a trapezium with parallel sides 17 cm and 21 cm, and perpendicular height 17 cm.

    323 cm²

    Area of a trapezium = ½ × (17 + 21) × 17 = 323 cm².

  12. 12. Find the area of a trapezium with parallel sides 14 cm and 22 cm, and perpendicular height 17 cm.

    306 cm²

    Area of a trapezium = ½ × (14 + 22) × 17 = 306 cm².

12 questions · Seed 46 · Age guidance, not curriculum certification