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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 32 cm, and perpendicular height 6 cm.
14 cm · 32 cm · 6 cm · Area of a trapezium
2. Find the area of a trapezium with parallel sides 24 cm and 34 cm, and perpendicular height 16 cm.
24 cm · 34 cm · 16 cm · Area of a trapezium
3. Find the area of a parallelogram with base 9 cm and perpendicular height 15 cm.
9 cm · 15 cm · Area of a trapezium
4. Find the area of a parallelogram with base 6 cm and perpendicular height 12 cm.
6 cm · 12 cm · Area of a trapezium
5. Find the area of a trapezium with parallel sides 9 cm and 19 cm, and perpendicular height 9 cm.
9 cm · 19 cm · 9 cm · Area of a trapezium
6. Find the area of a parallelogram with base 12 cm and perpendicular height 3 cm.
12 cm · 3 cm · Area of a trapezium
7. Find the area of a trapezium with parallel sides 22 cm and 26 cm, and perpendicular height 8 cm.
22 cm · 26 cm · 8 cm · Area of a trapezium
8. Find the area of a trapezium with parallel sides 14 cm and 30 cm, and perpendicular height 11 cm.
14 cm · 30 cm · 11 cm · Area of a trapezium
9. Find the area of a parallelogram with base 17 cm and perpendicular height 9 cm.
17 cm · 9 cm · Area of a trapezium
10. Find the area of a trapezium with parallel sides 20 cm and 40 cm, and perpendicular height 7 cm.
20 cm · 40 cm · 7 cm · Area of a trapezium
11. Find the area of a parallelogram with base 8 cm and perpendicular height 18 cm.
8 cm · 18 cm · Area of a trapezium
12. Find the area of a parallelogram with base 18 cm and perpendicular height 16 cm.
18 cm · 16 cm · Area of a trapezium
12 questions · Seed 47 · 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 32 cm, and perpendicular height 6 cm.
138 cm² Area of a trapezium = ½ × (14 + 32) × 6 = 138 cm².
2. Find the area of a trapezium with parallel sides 24 cm and 34 cm, and perpendicular height 16 cm.
464 cm² Area of a trapezium = ½ × (24 + 34) × 16 = 464 cm².
3. 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.
4. Find the area of a parallelogram with base 6 cm and perpendicular height 12 cm.
72 cm² Area of a parallelogram = base × height = 6 × 12 = 72 cm².
5. Find the area of a trapezium with parallel sides 9 cm and 19 cm, and perpendicular height 9 cm.
126 cm² Area of a trapezium = ½ × (9 + 19) × 9 = 126 cm².
6. Find the area of a parallelogram with base 12 cm and perpendicular height 3 cm.
36 cm² Area of a parallelogram = base × height = 12 × 3 = 36 cm².
7. Find the area of a trapezium with parallel sides 22 cm and 26 cm, and perpendicular height 8 cm.
192 cm² Area of a trapezium = ½ × (22 + 26) × 8 = 192 cm².
8. Find the area of a trapezium with parallel sides 14 cm and 30 cm, and perpendicular height 11 cm.
242 cm² Area of a trapezium = ½ × (14 + 30) × 11 = 242 cm².
9. Find the area of a parallelogram with base 17 cm and perpendicular height 9 cm.
153 cm² Area of a parallelogram = base × height = 17 × 9 = 153 cm².
10. Find the area of a trapezium with parallel sides 20 cm and 40 cm, and perpendicular height 7 cm.
210 cm² Area of a trapezium = ½ × (20 + 40) × 7 = 210 cm².
11. Find the area of a parallelogram with base 8 cm and perpendicular height 18 cm.
144 cm² Area of a parallelogram = base × height = 8 × 18 = 144 cm².
12. Find the area of a parallelogram with base 18 cm and perpendicular height 16 cm.
288 cm² Area of a parallelogram = base × height = 18 × 16 = 288 cm².
12 questions · Seed 47 · 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 32 cm, and perpendicular height 6 cm.
14 cm · 32 cm · 6 cm · Area of a trapezium
2. Find the area of a trapezium with parallel sides 24 cm and 34 cm, and perpendicular height 16 cm.
24 cm · 34 cm · 16 cm · Area of a trapezium
3. Find the area of a parallelogram with base 9 cm and perpendicular height 15 cm.
9 cm · 15 cm · Area of a trapezium
4. Find the area of a parallelogram with base 6 cm and perpendicular height 12 cm.
6 cm · 12 cm · Area of a trapezium
5. Find the area of a trapezium with parallel sides 9 cm and 19 cm, and perpendicular height 9 cm.
9 cm · 19 cm · 9 cm · Area of a trapezium
6. Find the area of a parallelogram with base 12 cm and perpendicular height 3 cm.
12 cm · 3 cm · Area of a trapezium
7. Find the area of a trapezium with parallel sides 22 cm and 26 cm, and perpendicular height 8 cm.
22 cm · 26 cm · 8 cm · Area of a trapezium
8. Find the area of a trapezium with parallel sides 14 cm and 30 cm, and perpendicular height 11 cm.
14 cm · 30 cm · 11 cm · Area of a trapezium
9. Find the area of a parallelogram with base 17 cm and perpendicular height 9 cm.
17 cm · 9 cm · Area of a trapezium
10. Find the area of a trapezium with parallel sides 20 cm and 40 cm, and perpendicular height 7 cm.
20 cm · 40 cm · 7 cm · Area of a trapezium
11. Find the area of a parallelogram with base 8 cm and perpendicular height 18 cm.
8 cm · 18 cm · Area of a trapezium
12. Find the area of a parallelogram with base 18 cm and perpendicular height 16 cm.
18 cm · 16 cm · Area of a trapezium
12 questions · Seed 47 · 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 32 cm, and perpendicular height 6 cm.
138 cm² Area of a trapezium = ½ × (14 + 32) × 6 = 138 cm².
2. Find the area of a trapezium with parallel sides 24 cm and 34 cm, and perpendicular height 16 cm.
464 cm² Area of a trapezium = ½ × (24 + 34) × 16 = 464 cm².
3. 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.
4. Find the area of a parallelogram with base 6 cm and perpendicular height 12 cm.
72 cm² Area of a parallelogram = base × height = 6 × 12 = 72 cm².
5. Find the area of a trapezium with parallel sides 9 cm and 19 cm, and perpendicular height 9 cm.
126 cm² Area of a trapezium = ½ × (9 + 19) × 9 = 126 cm².
6. Find the area of a parallelogram with base 12 cm and perpendicular height 3 cm.
36 cm² Area of a parallelogram = base × height = 12 × 3 = 36 cm².
7. Find the area of a trapezium with parallel sides 22 cm and 26 cm, and perpendicular height 8 cm.
192 cm² Area of a trapezium = ½ × (22 + 26) × 8 = 192 cm².
8. Find the area of a trapezium with parallel sides 14 cm and 30 cm, and perpendicular height 11 cm.
242 cm² Area of a trapezium = ½ × (14 + 30) × 11 = 242 cm².
9. Find the area of a parallelogram with base 17 cm and perpendicular height 9 cm.
153 cm² Area of a parallelogram = base × height = 17 × 9 = 153 cm².
10. Find the area of a trapezium with parallel sides 20 cm and 40 cm, and perpendicular height 7 cm.
210 cm² Area of a trapezium = ½ × (20 + 40) × 7 = 210 cm².
11. Find the area of a parallelogram with base 8 cm and perpendicular height 18 cm.
144 cm² Area of a parallelogram = base × height = 8 × 18 = 144 cm².
12. Find the area of a parallelogram with base 18 cm and perpendicular height 16 cm.
288 cm² Area of a parallelogram = base × height = 18 × 16 = 288 cm².
12 questions · Seed 47 · Age guidance, not curriculum certification
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