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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 20 cm and 40 cm, and perpendicular height 10 cm.
20 cm · 40 cm · 10 cm · Area of a trapezium
2. Find the area of a trapezium with parallel sides 4 cm and 14 cm, and perpendicular height 3 cm.
4 cm · 14 cm · 3 cm · Area of a trapezium
3. Find the area of a trapezium with parallel sides 16 cm and 34 cm, and perpendicular height 5 cm.
16 cm · 34 cm · 5 cm · Area of a trapezium
4. Find the area of a trapezium with parallel sides 21 cm and 27 cm, and perpendicular height 6 cm.
21 cm · 27 cm · 6 cm · Area of a trapezium
5. Find the area of a trapezium with parallel sides 6 cm and 10 cm, and perpendicular height 11 cm.
6 cm · 10 cm · 11 cm · Area of a trapezium
6. Find the area of a trapezium with parallel sides 18 cm and 24 cm, and perpendicular height 10 cm.
18 cm · 24 cm · 10 cm · Area of a trapezium
7. Find the area of a trapezium with parallel sides 12 cm and 34 cm, and perpendicular height 15 cm.
12 cm · 34 cm · 15 cm · Area of a trapezium
8. Find the area of a trapezium with parallel sides 11 cm and 29 cm, and perpendicular height 14 cm.
11 cm · 29 cm · 14 cm · Area of a trapezium
9. Find the area of a parallelogram with base 18 cm and perpendicular height 3 cm.
18 cm · 3 cm · Area of a trapezium
10. Find the area of a parallelogram with base 9 cm and perpendicular height 15 cm.
9 cm · 15 cm · Area of a trapezium
11. Find the area of a trapezium with parallel sides 18 cm and 22 cm, and perpendicular height 6 cm.
18 cm · 22 cm · 6 cm · Area of a trapezium
12. Find the area of a parallelogram with base 10 cm and perpendicular height 7 cm.
10 cm · 7 cm · Area of a trapezium
12 questions · Seed 43 · 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 20 cm and 40 cm, and perpendicular height 10 cm.
300 cm² Area of a trapezium = ½ × (20 + 40) × 10 = 300 cm².
2. Find the area of a trapezium with parallel sides 4 cm and 14 cm, and perpendicular height 3 cm.
27 cm² Area of a trapezium = ½ × (4 + 14) × 3 = 27 cm².
3. Find the area of a trapezium with parallel sides 16 cm and 34 cm, and perpendicular height 5 cm.
125 cm² Area of a trapezium = ½ × (16 + 34) × 5 = 125 cm².
4. Find the area of a trapezium with parallel sides 21 cm and 27 cm, and perpendicular height 6 cm.
144 cm² Area of a trapezium = ½ × (21 + 27) × 6 = 144 cm².
5. Find the area of a trapezium with parallel sides 6 cm and 10 cm, and perpendicular height 11 cm.
88 cm² Area of a trapezium = ½ × (6 + 10) × 11 = 88 cm².
6. Find the area of a trapezium with parallel sides 18 cm and 24 cm, and perpendicular height 10 cm.
210 cm² Area of a trapezium = ½ × (18 + 24) × 10 = 210 cm².
7. Find the area of a trapezium with parallel sides 12 cm and 34 cm, and perpendicular height 15 cm.
345 cm² Area of a trapezium = ½ × (12 + 34) × 15 = 345 cm².
8. Find the area of a trapezium with parallel sides 11 cm and 29 cm, and perpendicular height 14 cm.
280 cm² Area of a trapezium = ½ × (11 + 29) × 14 = 280 cm².
9. Find the area of a parallelogram with base 18 cm and perpendicular height 3 cm.
54 cm² Area of a parallelogram = base × height = 18 × 3 = 54 cm².
10. Find the area of a parallelogram with base 9 cm and perpendicular height 15 cm.
135 cm² Area of a parallelogram = base × height = 9 × 15 = 135 cm².
11. Find the area of a trapezium with parallel sides 18 cm and 22 cm, and perpendicular height 6 cm.
120 cm² Area of a trapezium = ½ × (18 + 22) × 6 = 120 cm².
12. Find the area of a parallelogram with base 10 cm and perpendicular height 7 cm.
70 cm² Area of a parallelogram = base × height = 10 × 7 = 70 cm².
12 questions · Seed 43 · 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 20 cm and 40 cm, and perpendicular height 10 cm.
20 cm · 40 cm · 10 cm · Area of a trapezium
2. Find the area of a trapezium with parallel sides 4 cm and 14 cm, and perpendicular height 3 cm.
4 cm · 14 cm · 3 cm · Area of a trapezium
3. Find the area of a trapezium with parallel sides 16 cm and 34 cm, and perpendicular height 5 cm.
16 cm · 34 cm · 5 cm · Area of a trapezium
4. Find the area of a trapezium with parallel sides 21 cm and 27 cm, and perpendicular height 6 cm.
21 cm · 27 cm · 6 cm · Area of a trapezium
5. Find the area of a trapezium with parallel sides 6 cm and 10 cm, and perpendicular height 11 cm.
6 cm · 10 cm · 11 cm · Area of a trapezium
6. Find the area of a trapezium with parallel sides 18 cm and 24 cm, and perpendicular height 10 cm.
18 cm · 24 cm · 10 cm · Area of a trapezium
7. Find the area of a trapezium with parallel sides 12 cm and 34 cm, and perpendicular height 15 cm.
12 cm · 34 cm · 15 cm · Area of a trapezium
8. Find the area of a trapezium with parallel sides 11 cm and 29 cm, and perpendicular height 14 cm.
11 cm · 29 cm · 14 cm · Area of a trapezium
9. Find the area of a parallelogram with base 18 cm and perpendicular height 3 cm.
18 cm · 3 cm · Area of a trapezium
10. Find the area of a parallelogram with base 9 cm and perpendicular height 15 cm.
9 cm · 15 cm · Area of a trapezium
11. Find the area of a trapezium with parallel sides 18 cm and 22 cm, and perpendicular height 6 cm.
18 cm · 22 cm · 6 cm · Area of a trapezium
12. Find the area of a parallelogram with base 10 cm and perpendicular height 7 cm.
10 cm · 7 cm · Area of a trapezium
12 questions · Seed 43 · 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 20 cm and 40 cm, and perpendicular height 10 cm.
300 cm² Area of a trapezium = ½ × (20 + 40) × 10 = 300 cm².
2. Find the area of a trapezium with parallel sides 4 cm and 14 cm, and perpendicular height 3 cm.
27 cm² Area of a trapezium = ½ × (4 + 14) × 3 = 27 cm².
3. Find the area of a trapezium with parallel sides 16 cm and 34 cm, and perpendicular height 5 cm.
125 cm² Area of a trapezium = ½ × (16 + 34) × 5 = 125 cm².
4. Find the area of a trapezium with parallel sides 21 cm and 27 cm, and perpendicular height 6 cm.
144 cm² Area of a trapezium = ½ × (21 + 27) × 6 = 144 cm².
5. Find the area of a trapezium with parallel sides 6 cm and 10 cm, and perpendicular height 11 cm.
88 cm² Area of a trapezium = ½ × (6 + 10) × 11 = 88 cm².
6. Find the area of a trapezium with parallel sides 18 cm and 24 cm, and perpendicular height 10 cm.
210 cm² Area of a trapezium = ½ × (18 + 24) × 10 = 210 cm².
7. Find the area of a trapezium with parallel sides 12 cm and 34 cm, and perpendicular height 15 cm.
345 cm² Area of a trapezium = ½ × (12 + 34) × 15 = 345 cm².
8. Find the area of a trapezium with parallel sides 11 cm and 29 cm, and perpendicular height 14 cm.
280 cm² Area of a trapezium = ½ × (11 + 29) × 14 = 280 cm².
9. Find the area of a parallelogram with base 18 cm and perpendicular height 3 cm.
54 cm² Area of a parallelogram = base × height = 18 × 3 = 54 cm².
10. Find the area of a parallelogram with base 9 cm and perpendicular height 15 cm.
135 cm² Area of a parallelogram = base × height = 9 × 15 = 135 cm².
11. Find the area of a trapezium with parallel sides 18 cm and 22 cm, and perpendicular height 6 cm.
120 cm² Area of a trapezium = ½ × (18 + 22) × 6 = 120 cm².
12. Find the area of a parallelogram with base 10 cm and perpendicular height 7 cm.
70 cm² Area of a parallelogram = base × height = 10 × 7 = 70 cm².
12 questions · Seed 43 · Age guidance, not curriculum certification
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