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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.
Student worksheet Answer key
Worksheet Studio Practice pack · Ages 10-12
Area of a trapezium Take your time. Show your thinking.
1. Find the area of a trapezium with parallel sides 14 cm and 26 cm, and perpendicular height 5 cm.
14 cm · 26 cm · 5 cm · Area of a trapezium
2. Find the area of a trapezium with parallel sides 23 cm and 33 cm, and perpendicular height 17 cm.
23 cm · 33 cm · 17 cm · Area of a trapezium
3. Find the area of a trapezium with parallel sides 20 cm and 36 cm, and perpendicular height 7 cm.
20 cm · 36 cm · 7 cm · Area of a trapezium
4. Find the area of a parallelogram with base 17 cm and perpendicular height 5 cm.
17 cm · 5 cm · Area of a trapezium
5. Find the area of a trapezium with parallel sides 17 cm and 31 cm, and perpendicular height 14 cm.
17 cm · 31 cm · 14 cm · Area of a trapezium
6. Find the area of a trapezium with parallel sides 23 cm and 27 cm, and perpendicular height 17 cm.
23 cm · 27 cm · 17 cm · Area of a trapezium
7. Find the area of a trapezium with parallel sides 8 cm and 12 cm, and perpendicular height 4 cm.
8 cm · 12 cm · 4 cm · Area of a trapezium
8. Find the area of a parallelogram with base 12 cm and perpendicular height 18 cm.
12 cm · 18 cm · Area of a trapezium
9. Find the area of a parallelogram with base 8 cm and perpendicular height 12 cm.
8 cm · 12 cm · Area of a trapezium
10. Find the area of a trapezium with parallel sides 17 cm and 41 cm, and perpendicular height 9 cm.
17 cm · 41 cm · 9 cm · Area of a trapezium
11. Find the area of a trapezium with parallel sides 12 cm and 16 cm, and perpendicular height 5 cm.
12 cm · 16 cm · 5 cm · Area of a trapezium
12. Find the area of a parallelogram with base 10 cm and perpendicular height 3 cm.
10 cm · 3 cm · Area of a trapezium
12 questions · Seed 104730 · Age guidance, not curriculum certification
View the answer key Worksheet Studio Answer key · Ages 10-12
Area of a trapezium Answers and reasoning. Review before teaching.
1. Find the area of a trapezium with parallel sides 14 cm and 26 cm, and perpendicular height 5 cm.
100 cm² Area of a trapezium = ½ × (14 + 26) × 5 = 100 cm².
2. Find the area of a trapezium with parallel sides 23 cm and 33 cm, and perpendicular height 17 cm.
476 cm² Area of a trapezium = ½ × (23 + 33) × 17 = 476 cm².
3. Find the area of a trapezium with parallel sides 20 cm and 36 cm, and perpendicular height 7 cm.
196 cm² Area of a trapezium = ½ × (20 + 36) × 7 = 196 cm².
4. Find the area of a parallelogram with base 17 cm and perpendicular height 5 cm.
85 cm² Area of a parallelogram = base × height = 17 × 5 = 85 cm².
5. Find the area of a trapezium with parallel sides 17 cm and 31 cm, and perpendicular height 14 cm.
336 cm² Area of a trapezium = ½ × (17 + 31) × 14 = 336 cm².
6. Find the area of a trapezium with parallel sides 23 cm and 27 cm, and perpendicular height 17 cm.
425 cm² Area of a trapezium = ½ × (23 + 27) × 17 = 425 cm².
7. Find the area of a trapezium with parallel sides 8 cm and 12 cm, and perpendicular height 4 cm.
40 cm² Area of a trapezium = ½ × (8 + 12) × 4 = 40 cm².
8. Find the area of a parallelogram with base 12 cm and perpendicular height 18 cm.
216 cm² Area of a parallelogram = base × height = 12 × 18 = 216 cm².
9. Find the area of a parallelogram with base 8 cm and perpendicular height 12 cm.
96 cm² Area of a parallelogram = base × height = 8 × 12 = 96 cm².
10. Find the area of a trapezium with parallel sides 17 cm and 41 cm, and perpendicular height 9 cm.
261 cm² Area of a trapezium = ½ × (17 + 41) × 9 = 261 cm².
11. Find the area of a trapezium with parallel sides 12 cm and 16 cm, and perpendicular height 5 cm.
70 cm² Area of a trapezium = ½ × (12 + 16) × 5 = 70 cm².
12. Find the area of a parallelogram with base 10 cm and perpendicular height 3 cm.
30 cm² Area of a parallelogram = base × height = 10 × 3 = 30 cm².
12 questions · Seed 104730 · Age guidance, not curriculum certification
Worksheet Studio Practice pack · Ages 10-12
Area of a trapezium Take your time. Show your thinking.
1. Find the area of a trapezium with parallel sides 14 cm and 26 cm, and perpendicular height 5 cm.
14 cm · 26 cm · 5 cm · Area of a trapezium
2. Find the area of a trapezium with parallel sides 23 cm and 33 cm, and perpendicular height 17 cm.
23 cm · 33 cm · 17 cm · Area of a trapezium
3. Find the area of a trapezium with parallel sides 20 cm and 36 cm, and perpendicular height 7 cm.
20 cm · 36 cm · 7 cm · Area of a trapezium
4. Find the area of a parallelogram with base 17 cm and perpendicular height 5 cm.
17 cm · 5 cm · Area of a trapezium
5. Find the area of a trapezium with parallel sides 17 cm and 31 cm, and perpendicular height 14 cm.
17 cm · 31 cm · 14 cm · Area of a trapezium
6. Find the area of a trapezium with parallel sides 23 cm and 27 cm, and perpendicular height 17 cm.
23 cm · 27 cm · 17 cm · Area of a trapezium
7. Find the area of a trapezium with parallel sides 8 cm and 12 cm, and perpendicular height 4 cm.
8 cm · 12 cm · 4 cm · Area of a trapezium
8. Find the area of a parallelogram with base 12 cm and perpendicular height 18 cm.
12 cm · 18 cm · Area of a trapezium
9. Find the area of a parallelogram with base 8 cm and perpendicular height 12 cm.
8 cm · 12 cm · Area of a trapezium
10. Find the area of a trapezium with parallel sides 17 cm and 41 cm, and perpendicular height 9 cm.
17 cm · 41 cm · 9 cm · Area of a trapezium
11. Find the area of a trapezium with parallel sides 12 cm and 16 cm, and perpendicular height 5 cm.
12 cm · 16 cm · 5 cm · Area of a trapezium
12. Find the area of a parallelogram with base 10 cm and perpendicular height 3 cm.
10 cm · 3 cm · Area of a trapezium
12 questions · Seed 104730 · Age guidance, not curriculum certification
Worksheet Studio Answer key · Ages 10-12
Area of a trapezium Answers and reasoning. Review before teaching.
1. Find the area of a trapezium with parallel sides 14 cm and 26 cm, and perpendicular height 5 cm.
100 cm² Area of a trapezium = ½ × (14 + 26) × 5 = 100 cm².
2. Find the area of a trapezium with parallel sides 23 cm and 33 cm, and perpendicular height 17 cm.
476 cm² Area of a trapezium = ½ × (23 + 33) × 17 = 476 cm².
3. Find the area of a trapezium with parallel sides 20 cm and 36 cm, and perpendicular height 7 cm.
196 cm² Area of a trapezium = ½ × (20 + 36) × 7 = 196 cm².
4. Find the area of a parallelogram with base 17 cm and perpendicular height 5 cm.
85 cm² Area of a parallelogram = base × height = 17 × 5 = 85 cm².
5. Find the area of a trapezium with parallel sides 17 cm and 31 cm, and perpendicular height 14 cm.
336 cm² Area of a trapezium = ½ × (17 + 31) × 14 = 336 cm².
6. Find the area of a trapezium with parallel sides 23 cm and 27 cm, and perpendicular height 17 cm.
425 cm² Area of a trapezium = ½ × (23 + 27) × 17 = 425 cm².
7. Find the area of a trapezium with parallel sides 8 cm and 12 cm, and perpendicular height 4 cm.
40 cm² Area of a trapezium = ½ × (8 + 12) × 4 = 40 cm².
8. Find the area of a parallelogram with base 12 cm and perpendicular height 18 cm.
216 cm² Area of a parallelogram = base × height = 12 × 18 = 216 cm².
9. Find the area of a parallelogram with base 8 cm and perpendicular height 12 cm.
96 cm² Area of a parallelogram = base × height = 8 × 12 = 96 cm².
10. Find the area of a trapezium with parallel sides 17 cm and 41 cm, and perpendicular height 9 cm.
261 cm² Area of a trapezium = ½ × (17 + 41) × 9 = 261 cm².
11. Find the area of a trapezium with parallel sides 12 cm and 16 cm, and perpendicular height 5 cm.
70 cm² Area of a trapezium = ½ × (12 + 16) × 5 = 70 cm².
12. Find the area of a parallelogram with base 10 cm and perpendicular height 3 cm.
30 cm² Area of a parallelogram = base × height = 10 × 3 = 30 cm².
12 questions · Seed 104730 · Age guidance, not curriculum certification
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