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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 8 cm and 26 cm, and perpendicular height 15 cm.
8 cm · 26 cm · 15 cm · Area of a trapezium
2. Find the area of a parallelogram with base 17 cm and perpendicular height 11 cm.
17 cm · 11 cm · Area of a trapezium
3. Find the area of a parallelogram with base 17 cm and perpendicular height 3 cm.
17 cm · 3 cm · Area of a trapezium
4. Find the area of a trapezium with parallel sides 24 cm and 36 cm, and perpendicular height 5 cm.
24 cm · 36 cm · 5 cm · Area of a trapezium
5. Find the area of a parallelogram with base 15 cm and perpendicular height 17 cm.
15 cm · 17 cm · Area of a trapezium
6. Find the area of a parallelogram with base 20 cm and perpendicular height 14 cm.
20 cm · 14 cm · Area of a trapezium
7. Find the area of a trapezium with parallel sides 12 cm and 20 cm, and perpendicular height 14 cm.
12 cm · 20 cm · 14 cm · Area of a trapezium
8. Find the area of a parallelogram with base 6 cm and perpendicular height 5 cm.
6 cm · 5 cm · Area of a trapezium
9. Find the area of a parallelogram with base 22 cm and perpendicular height 14 cm.
22 cm · 14 cm · Area of a trapezium
10. Find the area of a trapezium with parallel sides 18 cm and 32 cm, and perpendicular height 3 cm.
18 cm · 32 cm · 3 cm · Area of a trapezium
11. Find the area of a trapezium with parallel sides 5 cm and 29 cm, and perpendicular height 17 cm.
5 cm · 29 cm · 17 cm · Area of a trapezium
12. Find the area of a parallelogram with base 19 cm and perpendicular height 7 cm.
19 cm · 7 cm · Area of a trapezium
12 questions · Seed 42 · 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 8 cm and 26 cm, and perpendicular height 15 cm.
255 cm² Area of a trapezium = ½ × (8 + 26) × 15 = 255 cm².
2. Find the area of a parallelogram with base 17 cm and perpendicular height 11 cm.
187 cm² Area of a parallelogram = base × height = 17 × 11 = 187 cm².
3. Find the area of a parallelogram with base 17 cm and perpendicular height 3 cm.
51 cm² Area of a parallelogram = base × height = 17 × 3 = 51 cm².
4. Find the area of a trapezium with parallel sides 24 cm and 36 cm, and perpendicular height 5 cm.
150 cm² Area of a trapezium = ½ × (24 + 36) × 5 = 150 cm².
5. Find the area of a parallelogram with base 15 cm and perpendicular height 17 cm.
255 cm² Area of a parallelogram = base × height = 15 × 17 = 255 cm².
6. Find the area of a parallelogram with base 20 cm and perpendicular height 14 cm.
280 cm² Area of a parallelogram = base × height = 20 × 14 = 280 cm².
7. Find the area of a trapezium with parallel sides 12 cm and 20 cm, and perpendicular height 14 cm.
224 cm² Area of a trapezium = ½ × (12 + 20) × 14 = 224 cm².
8. Find the area of a parallelogram with base 6 cm and perpendicular height 5 cm.
30 cm² Area of a parallelogram = base × height = 6 × 5 = 30 cm².
9. Find the area of a parallelogram with base 22 cm and perpendicular height 14 cm.
308 cm² Area of a parallelogram = base × height = 22 × 14 = 308 cm².
10. Find the area of a trapezium with parallel sides 18 cm and 32 cm, and perpendicular height 3 cm.
75 cm² Area of a trapezium = ½ × (18 + 32) × 3 = 75 cm².
11. Find the area of a trapezium with parallel sides 5 cm and 29 cm, and perpendicular height 17 cm.
289 cm² Area of a trapezium = ½ × (5 + 29) × 17 = 289 cm².
12. Find the area of a parallelogram with base 19 cm and perpendicular height 7 cm.
133 cm² Area of a parallelogram = base × height = 19 × 7 = 133 cm².
12 questions · Seed 42 · 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 8 cm and 26 cm, and perpendicular height 15 cm.
8 cm · 26 cm · 15 cm · Area of a trapezium
2. Find the area of a parallelogram with base 17 cm and perpendicular height 11 cm.
17 cm · 11 cm · Area of a trapezium
3. Find the area of a parallelogram with base 17 cm and perpendicular height 3 cm.
17 cm · 3 cm · Area of a trapezium
4. Find the area of a trapezium with parallel sides 24 cm and 36 cm, and perpendicular height 5 cm.
24 cm · 36 cm · 5 cm · Area of a trapezium
5. Find the area of a parallelogram with base 15 cm and perpendicular height 17 cm.
15 cm · 17 cm · Area of a trapezium
6. Find the area of a parallelogram with base 20 cm and perpendicular height 14 cm.
20 cm · 14 cm · Area of a trapezium
7. Find the area of a trapezium with parallel sides 12 cm and 20 cm, and perpendicular height 14 cm.
12 cm · 20 cm · 14 cm · Area of a trapezium
8. Find the area of a parallelogram with base 6 cm and perpendicular height 5 cm.
6 cm · 5 cm · Area of a trapezium
9. Find the area of a parallelogram with base 22 cm and perpendicular height 14 cm.
22 cm · 14 cm · Area of a trapezium
10. Find the area of a trapezium with parallel sides 18 cm and 32 cm, and perpendicular height 3 cm.
18 cm · 32 cm · 3 cm · Area of a trapezium
11. Find the area of a trapezium with parallel sides 5 cm and 29 cm, and perpendicular height 17 cm.
5 cm · 29 cm · 17 cm · Area of a trapezium
12. Find the area of a parallelogram with base 19 cm and perpendicular height 7 cm.
19 cm · 7 cm · Area of a trapezium
12 questions · Seed 42 · 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 8 cm and 26 cm, and perpendicular height 15 cm.
255 cm² Area of a trapezium = ½ × (8 + 26) × 15 = 255 cm².
2. Find the area of a parallelogram with base 17 cm and perpendicular height 11 cm.
187 cm² Area of a parallelogram = base × height = 17 × 11 = 187 cm².
3. Find the area of a parallelogram with base 17 cm and perpendicular height 3 cm.
51 cm² Area of a parallelogram = base × height = 17 × 3 = 51 cm².
4. Find the area of a trapezium with parallel sides 24 cm and 36 cm, and perpendicular height 5 cm.
150 cm² Area of a trapezium = ½ × (24 + 36) × 5 = 150 cm².
5. Find the area of a parallelogram with base 15 cm and perpendicular height 17 cm.
255 cm² Area of a parallelogram = base × height = 15 × 17 = 255 cm².
6. Find the area of a parallelogram with base 20 cm and perpendicular height 14 cm.
280 cm² Area of a parallelogram = base × height = 20 × 14 = 280 cm².
7. Find the area of a trapezium with parallel sides 12 cm and 20 cm, and perpendicular height 14 cm.
224 cm² Area of a trapezium = ½ × (12 + 20) × 14 = 224 cm².
8. Find the area of a parallelogram with base 6 cm and perpendicular height 5 cm.
30 cm² Area of a parallelogram = base × height = 6 × 5 = 30 cm².
9. Find the area of a parallelogram with base 22 cm and perpendicular height 14 cm.
308 cm² Area of a parallelogram = base × height = 22 × 14 = 308 cm².
10. Find the area of a trapezium with parallel sides 18 cm and 32 cm, and perpendicular height 3 cm.
75 cm² Area of a trapezium = ½ × (18 + 32) × 3 = 75 cm².
11. Find the area of a trapezium with parallel sides 5 cm and 29 cm, and perpendicular height 17 cm.
289 cm² Area of a trapezium = ½ × (5 + 29) × 17 = 289 cm².
12. Find the area of a parallelogram with base 19 cm and perpendicular height 7 cm.
133 cm² Area of a parallelogram = base × height = 19 × 7 = 133 cm².
12 questions · Seed 42 · Age guidance, not curriculum certification
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