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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 13-15
Area of a trapezium Take your time. Show your thinking.
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. Find the area of a parallelogram with base 16 cm and perpendicular height 11 cm.
16 cm · 11 cm · Area of a trapezium
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. 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. Find the area of a parallelogram with base 12 cm and perpendicular height 16 cm.
12 cm · 16 cm · Area of a trapezium
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. 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. 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. 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. Find the area of a parallelogram with base 12 cm and perpendicular height 13 cm.
12 cm · 13 cm · Area of a trapezium
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. 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 Studio Answer key · Ages 13-15
Area of a trapezium Answers and reasoning. Review before teaching.
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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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 Studio Practice pack · Ages 13-15
Area of a trapezium Take your time. Show your thinking.
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. Find the area of a parallelogram with base 16 cm and perpendicular height 11 cm.
16 cm · 11 cm · Area of a trapezium
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. 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. Find the area of a parallelogram with base 12 cm and perpendicular height 16 cm.
12 cm · 16 cm · Area of a trapezium
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. 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. 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. 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. Find the area of a parallelogram with base 12 cm and perpendicular height 13 cm.
12 cm · 13 cm · Area of a trapezium
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. 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 Studio Answer key · Ages 13-15
Area of a trapezium Answers and reasoning. Review before teaching.
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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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
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