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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 parallelogram with base 18 cm and perpendicular height 17 cm.
18 cm · 17 cm · Area of a trapezium
2. Find the area of a trapezium with parallel sides 4 cm and 14 cm, and perpendicular height 7 cm.
4 cm · 14 cm · 7 cm · Area of a trapezium
3. Find the area of a parallelogram with base 23 cm and perpendicular height 3 cm.
23 cm · 3 cm · Area of a trapezium
4. Find the area of a parallelogram with base 17 cm and perpendicular height 12 cm.
17 cm · 12 cm · Area of a trapezium
5. Find the area of a trapezium with parallel sides 19 cm and 33 cm, and perpendicular height 18 cm.
19 cm · 33 cm · 18 cm · Area of a trapezium
6. Find the area of a trapezium with parallel sides 9 cm and 17 cm, and perpendicular height 6 cm.
9 cm · 17 cm · 6 cm · Area of a trapezium
7. Find the area of a parallelogram with base 14 cm and perpendicular height 10 cm.
14 cm · 10 cm · Area of a trapezium
8. Find the area of a trapezium with parallel sides 4 cm and 16 cm, and perpendicular height 16 cm.
4 cm · 16 cm · 16 cm · Area of a trapezium
9. Find the area of a trapezium with parallel sides 13 cm and 27 cm, and perpendicular height 11 cm.
13 cm · 27 cm · 11 cm · Area of a trapezium
10. Find the area of a parallelogram with base 5 cm and perpendicular height 13 cm.
5 cm · 13 cm · Area of a trapezium
11. Find the area of a parallelogram with base 11 cm and perpendicular height 9 cm.
11 cm · 9 cm · Area of a trapezium
12. Find the area of a parallelogram with base 11 cm and perpendicular height 16 cm.
11 cm · 16 cm · Area of a trapezium
12 questions · Seed 44 · 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 parallelogram with base 18 cm and perpendicular height 17 cm.
306 cm² Area of a parallelogram = base × height = 18 × 17 = 306 cm².
2. Find the area of a trapezium with parallel sides 4 cm and 14 cm, and perpendicular height 7 cm.
63 cm² Area of a trapezium = ½ × (4 + 14) × 7 = 63 cm².
3. Find the area of a parallelogram with base 23 cm and perpendicular height 3 cm.
69 cm² Area of a parallelogram = base × height = 23 × 3 = 69 cm².
4. Find the area of a parallelogram with base 17 cm and perpendicular height 12 cm.
204 cm² Area of a parallelogram = base × height = 17 × 12 = 204 cm².
5. Find the area of a trapezium with parallel sides 19 cm and 33 cm, and perpendicular height 18 cm.
468 cm² Area of a trapezium = ½ × (19 + 33) × 18 = 468 cm².
6. Find the area of a trapezium with parallel sides 9 cm and 17 cm, and perpendicular height 6 cm.
78 cm² Area of a trapezium = ½ × (9 + 17) × 6 = 78 cm².
7. 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.
8. Find the area of a trapezium with parallel sides 4 cm and 16 cm, and perpendicular height 16 cm.
160 cm² Area of a trapezium = ½ × (4 + 16) × 16 = 160 cm².
9. Find the area of a trapezium with parallel sides 13 cm and 27 cm, and perpendicular height 11 cm.
220 cm² Area of a trapezium = ½ × (13 + 27) × 11 = 220 cm².
10. Find the area of a parallelogram with base 5 cm and perpendicular height 13 cm.
65 cm² Area of a parallelogram = base × height = 5 × 13 = 65 cm².
11. Find the area of a parallelogram with base 11 cm and perpendicular height 9 cm.
99 cm² Area of a parallelogram = base × height = 11 × 9 = 99 cm².
12. Find the area of a parallelogram with base 11 cm and perpendicular height 16 cm.
176 cm² Area of a parallelogram = base × height = 11 × 16 = 176 cm².
12 questions · Seed 44 · 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 parallelogram with base 18 cm and perpendicular height 17 cm.
18 cm · 17 cm · Area of a trapezium
2. Find the area of a trapezium with parallel sides 4 cm and 14 cm, and perpendicular height 7 cm.
4 cm · 14 cm · 7 cm · Area of a trapezium
3. Find the area of a parallelogram with base 23 cm and perpendicular height 3 cm.
23 cm · 3 cm · Area of a trapezium
4. Find the area of a parallelogram with base 17 cm and perpendicular height 12 cm.
17 cm · 12 cm · Area of a trapezium
5. Find the area of a trapezium with parallel sides 19 cm and 33 cm, and perpendicular height 18 cm.
19 cm · 33 cm · 18 cm · Area of a trapezium
6. Find the area of a trapezium with parallel sides 9 cm and 17 cm, and perpendicular height 6 cm.
9 cm · 17 cm · 6 cm · Area of a trapezium
7. Find the area of a parallelogram with base 14 cm and perpendicular height 10 cm.
14 cm · 10 cm · Area of a trapezium
8. Find the area of a trapezium with parallel sides 4 cm and 16 cm, and perpendicular height 16 cm.
4 cm · 16 cm · 16 cm · Area of a trapezium
9. Find the area of a trapezium with parallel sides 13 cm and 27 cm, and perpendicular height 11 cm.
13 cm · 27 cm · 11 cm · Area of a trapezium
10. Find the area of a parallelogram with base 5 cm and perpendicular height 13 cm.
5 cm · 13 cm · Area of a trapezium
11. Find the area of a parallelogram with base 11 cm and perpendicular height 9 cm.
11 cm · 9 cm · Area of a trapezium
12. Find the area of a parallelogram with base 11 cm and perpendicular height 16 cm.
11 cm · 16 cm · Area of a trapezium
12 questions · Seed 44 · 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 parallelogram with base 18 cm and perpendicular height 17 cm.
306 cm² Area of a parallelogram = base × height = 18 × 17 = 306 cm².
2. Find the area of a trapezium with parallel sides 4 cm and 14 cm, and perpendicular height 7 cm.
63 cm² Area of a trapezium = ½ × (4 + 14) × 7 = 63 cm².
3. Find the area of a parallelogram with base 23 cm and perpendicular height 3 cm.
69 cm² Area of a parallelogram = base × height = 23 × 3 = 69 cm².
4. Find the area of a parallelogram with base 17 cm and perpendicular height 12 cm.
204 cm² Area of a parallelogram = base × height = 17 × 12 = 204 cm².
5. Find the area of a trapezium with parallel sides 19 cm and 33 cm, and perpendicular height 18 cm.
468 cm² Area of a trapezium = ½ × (19 + 33) × 18 = 468 cm².
6. Find the area of a trapezium with parallel sides 9 cm and 17 cm, and perpendicular height 6 cm.
78 cm² Area of a trapezium = ½ × (9 + 17) × 6 = 78 cm².
7. 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.
8. Find the area of a trapezium with parallel sides 4 cm and 16 cm, and perpendicular height 16 cm.
160 cm² Area of a trapezium = ½ × (4 + 16) × 16 = 160 cm².
9. Find the area of a trapezium with parallel sides 13 cm and 27 cm, and perpendicular height 11 cm.
220 cm² Area of a trapezium = ½ × (13 + 27) × 11 = 220 cm².
10. Find the area of a parallelogram with base 5 cm and perpendicular height 13 cm.
65 cm² Area of a parallelogram = base × height = 5 × 13 = 65 cm².
11. Find the area of a parallelogram with base 11 cm and perpendicular height 9 cm.
99 cm² Area of a parallelogram = base × height = 11 × 9 = 99 cm².
12. Find the area of a parallelogram with base 11 cm and perpendicular height 16 cm.
176 cm² Area of a parallelogram = base × height = 11 × 16 = 176 cm².
12 questions · Seed 44 · Age guidance, not curriculum certification
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