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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 4 cm and 12 cm, and perpendicular height 12 cm.
4 cm · 12 cm · 12 cm · Area of a trapezium
2. Find the area of a parallelogram with base 6 cm and perpendicular height 10 cm.
6 cm · 10 cm · Area of a trapezium
3. Find the area of a parallelogram with base 12 cm and perpendicular height 7 cm.
12 cm · 7 cm · Area of a trapezium
4. Find the area of a trapezium with parallel sides 21 cm and 27 cm, and perpendicular height 15 cm.
21 cm · 27 cm · 15 cm · Area of a trapezium
5. Find the area of a trapezium with parallel sides 9 cm and 23 cm, and perpendicular height 5 cm.
9 cm · 23 cm · 5 cm · Area of a trapezium
6. Find the area of a parallelogram with base 23 cm and perpendicular height 12 cm.
23 cm · 12 cm · Area of a trapezium
7. Find the area of a parallelogram with base 10 cm and perpendicular height 11 cm.
10 cm · 11 cm · Area of a trapezium
8. Find the area of a parallelogram with base 14 cm and perpendicular height 10 cm.
14 cm · 10 cm · Area of a trapezium
9. Find the area of a parallelogram with base 9 cm and perpendicular height 9 cm.
9 cm · 9 cm · Area of a trapezium
10. Find the area of a parallelogram with base 9 cm and perpendicular height 13 cm.
9 cm · 13 cm · Area of a trapezium
11. Find the area of a trapezium with parallel sides 24 cm and 28 cm, and perpendicular height 15 cm.
24 cm · 28 cm · 15 cm · Area of a trapezium
12. Find the area of a parallelogram with base 20 cm and perpendicular height 17 cm.
20 cm · 17 cm · Area of a trapezium
12 questions · Seed 45 · 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 4 cm and 12 cm, and perpendicular height 12 cm.
96 cm² Area of a trapezium = ½ × (4 + 12) × 12 = 96 cm².
2. Find the area of a parallelogram with base 6 cm and perpendicular height 10 cm.
60 cm² Area of a parallelogram = base × height = 6 × 10 = 60 cm².
3. Find the area of a parallelogram with base 12 cm and perpendicular height 7 cm.
84 cm² Area of a parallelogram = base × height = 12 × 7 = 84 cm².
4. Find the area of a trapezium with parallel sides 21 cm and 27 cm, and perpendicular height 15 cm.
360 cm² Area of a trapezium = ½ × (21 + 27) × 15 = 360 cm².
5. Find the area of a trapezium with parallel sides 9 cm and 23 cm, and perpendicular height 5 cm.
80 cm² Area of a trapezium = ½ × (9 + 23) × 5 = 80 cm².
6. Find the area of a parallelogram with base 23 cm and perpendicular height 12 cm.
276 cm² Area of a parallelogram = base × height = 23 × 12 = 276 cm².
7. Find the area of a parallelogram with base 10 cm and perpendicular height 11 cm.
110 cm² Area of a parallelogram = base × height = 10 × 11 = 110 cm².
8. Find the area of a parallelogram with base 14 cm and perpendicular height 10 cm.
140 cm² Area of a parallelogram = base × height = 14 × 10 = 140 cm².
9. Find the area of a parallelogram with base 9 cm and perpendicular height 9 cm.
81 cm² Area of a parallelogram = base × height = 9 × 9 = 81 cm².
10. Find the area of a parallelogram with base 9 cm and perpendicular height 13 cm.
117 cm² Area of a parallelogram = base × height = 9 × 13 = 117 cm².
11. Find the area of a trapezium with parallel sides 24 cm and 28 cm, and perpendicular height 15 cm.
390 cm² Area of a trapezium = ½ × (24 + 28) × 15 = 390 cm².
12. Find the area of a parallelogram with base 20 cm and perpendicular height 17 cm.
340 cm² Area of a parallelogram = base × height = 20 × 17 = 340 cm².
12 questions · Seed 45 · 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 4 cm and 12 cm, and perpendicular height 12 cm.
4 cm · 12 cm · 12 cm · Area of a trapezium
2. Find the area of a parallelogram with base 6 cm and perpendicular height 10 cm.
6 cm · 10 cm · Area of a trapezium
3. Find the area of a parallelogram with base 12 cm and perpendicular height 7 cm.
12 cm · 7 cm · Area of a trapezium
4. Find the area of a trapezium with parallel sides 21 cm and 27 cm, and perpendicular height 15 cm.
21 cm · 27 cm · 15 cm · Area of a trapezium
5. Find the area of a trapezium with parallel sides 9 cm and 23 cm, and perpendicular height 5 cm.
9 cm · 23 cm · 5 cm · Area of a trapezium
6. Find the area of a parallelogram with base 23 cm and perpendicular height 12 cm.
23 cm · 12 cm · Area of a trapezium
7. Find the area of a parallelogram with base 10 cm and perpendicular height 11 cm.
10 cm · 11 cm · Area of a trapezium
8. Find the area of a parallelogram with base 14 cm and perpendicular height 10 cm.
14 cm · 10 cm · Area of a trapezium
9. Find the area of a parallelogram with base 9 cm and perpendicular height 9 cm.
9 cm · 9 cm · Area of a trapezium
10. Find the area of a parallelogram with base 9 cm and perpendicular height 13 cm.
9 cm · 13 cm · Area of a trapezium
11. Find the area of a trapezium with parallel sides 24 cm and 28 cm, and perpendicular height 15 cm.
24 cm · 28 cm · 15 cm · Area of a trapezium
12. Find the area of a parallelogram with base 20 cm and perpendicular height 17 cm.
20 cm · 17 cm · Area of a trapezium
12 questions · Seed 45 · 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 4 cm and 12 cm, and perpendicular height 12 cm.
96 cm² Area of a trapezium = ½ × (4 + 12) × 12 = 96 cm².
2. Find the area of a parallelogram with base 6 cm and perpendicular height 10 cm.
60 cm² Area of a parallelogram = base × height = 6 × 10 = 60 cm².
3. Find the area of a parallelogram with base 12 cm and perpendicular height 7 cm.
84 cm² Area of a parallelogram = base × height = 12 × 7 = 84 cm².
4. Find the area of a trapezium with parallel sides 21 cm and 27 cm, and perpendicular height 15 cm.
360 cm² Area of a trapezium = ½ × (21 + 27) × 15 = 360 cm².
5. Find the area of a trapezium with parallel sides 9 cm and 23 cm, and perpendicular height 5 cm.
80 cm² Area of a trapezium = ½ × (9 + 23) × 5 = 80 cm².
6. Find the area of a parallelogram with base 23 cm and perpendicular height 12 cm.
276 cm² Area of a parallelogram = base × height = 23 × 12 = 276 cm².
7. Find the area of a parallelogram with base 10 cm and perpendicular height 11 cm.
110 cm² Area of a parallelogram = base × height = 10 × 11 = 110 cm².
8. Find the area of a parallelogram with base 14 cm and perpendicular height 10 cm.
140 cm² Area of a parallelogram = base × height = 14 × 10 = 140 cm².
9. Find the area of a parallelogram with base 9 cm and perpendicular height 9 cm.
81 cm² Area of a parallelogram = base × height = 9 × 9 = 81 cm².
10. Find the area of a parallelogram with base 9 cm and perpendicular height 13 cm.
117 cm² Area of a parallelogram = base × height = 9 × 13 = 117 cm².
11. Find the area of a trapezium with parallel sides 24 cm and 28 cm, and perpendicular height 15 cm.
390 cm² Area of a trapezium = ½ × (24 + 28) × 15 = 390 cm².
12. Find the area of a parallelogram with base 20 cm and perpendicular height 17 cm.
340 cm² Area of a parallelogram = base × height = 20 × 17 = 340 cm².
12 questions · Seed 45 · Age guidance, not curriculum certification
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