Perimeter, area and volume · Ages 10–11
Areas of triangles, parallelograms and trapeziums together worksheet
Part of: Areas of parallelograms, triangles and trapeziums
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Areas of triangles, parallelograms and trapeziums together worksheet
Perimeter, area and volume · Ages 10–11
Numsprite
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Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.Area of the parallelogram = ? cm²
Answer:
2.Area of the triangle = ? cm²
Answer:
3.Area of the triangle = ? cm²
Answer:
4.Area of the trapezium = ? cm²
Answer:
5.Area of the triangle = ? cm²
Answer:
6.Area of the trapezium = ? cm²
Answer:
7.Area of the trapezium = ? cm²
Answer:
8.Area of the parallelogram = ? cm²
Answer:
9.Area of the parallelogram = ? cm²
Answer:
10.Area of the trapezium = ? cm²
Answer:
11.Area of the trapezium = ? cm²
Answer:
12.Area of the parallelogram = ? cm²
Answer:
Part B: Word problems (4 marks each)
13.A field shaped like a trapezium has parallel sides of 10 m and 22 m, and a height of 5 m. What is its area, in square metres?
Working:
Answer:
14.A flower bed shaped like a parallelogram has a base of 8 m and a height of 2 m. What is its area, in square metres?
Working:
Answer:
15.A flower bed shaped like a parallelogram has a base of 11 m and a height of 3 m. What is its area, in square metres?
Working:
Answer:
16.A triangle has an area of 90 cm² and a base of 20 cm. What is its height, in centimetres?
Working:
Answer:
17.A triangular lawn has a base of 10 m and a height of 5 m. What is its area, in square metres?
Working:
Answer:
18.A field shaped like a trapezium has parallel sides of 9 m and 10 m, and a height of 4 m. What is its area, in square metres?
Working:
Answer:
Show the answers and working
Areas of triangles, parallelograms and trapeziums together worksheet: Answers and working
Part A: Working out and filling in
1. Area of the parallelogram = 84 cm²
A parallelogram's area is base × height: 14 × 6 = 84, so 84 cm²
2. Area of the triangle = 38 cm²
A triangle's area is base × height ÷ 2: 4 ÷ 2 = 2, 19 × 2 = 38, so 38 cm²
3. Area of the triangle = 38 cm²
A triangle's area is base × height ÷ 2: 4 ÷ 2 = 2, 19 × 2 = 38, so 38 cm²
4. Area of the trapezium = 126 cm²
A trapezium's area is (upper base + lower base) × height ÷ 2: 9 + 12 = 21, 12 ÷ 2 = 6, 21 × 6 = 126, so 126 cm²
5. Area of the triangle = 10 cm²
A triangle's area is base × height ÷ 2: 4 ÷ 2 = 2, 5 × 2 = 10, so 10 cm²
6. Area of the trapezium = 77 cm²
A trapezium's area is (upper base + lower base) × height ÷ 2: 5 + 17 = 22, 22 ÷ 2 = 11, 11 × 7 = 77, so 77 cm²
7. Area of the trapezium = 150 cm²
A trapezium's area is (upper base + lower base) × height ÷ 2: 9 + 16 = 25, 12 ÷ 2 = 6, 25 × 6 = 150, so 150 cm²
8. Area of the parallelogram = 120 cm²
A parallelogram's area is base × height (the slanting 10 cm side is not the height): 15 × 8 = 120, so 120 cm²
9. Area of the parallelogram = 126 cm²
A parallelogram's area is base × height (the slanting 15 cm side is not the height): 14 × 9 = 126, so 126 cm²
10. Area of the trapezium = 30 cm²
A trapezium's area is (upper base + lower base) × height ÷ 2: 5 + 10 = 15, 4 ÷ 2 = 2, 15 × 2 = 30, so 30 cm²
11. Area of the trapezium = 42 cm²
A trapezium's area is (upper base + lower base) × height ÷ 2: 6 + 15 = 21, 4 ÷ 2 = 2, 21 × 2 = 42, so 42 cm²
12. Area of the parallelogram = 90 cm²
A parallelogram's area is base × height (the slanting 10 cm side is not the height): 15 × 6 = 90, so 90 cm²
Part B: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. A field shaped like a trapezium has parallel sides of 10 m and 22 m, and a height of 5 m. What is its area, in square metres? (Answer: 80 m²)
(10 + 22) × 5 ÷ 2 = 80
14. A flower bed shaped like a parallelogram has a base of 8 m and a height of 2 m. What is its area, in square metres? (Answer: 16 m²)
8 × 2 = 16
15. A flower bed shaped like a parallelogram has a base of 11 m and a height of 3 m. What is its area, in square metres? (Answer: 33 m²)
11 × 3 = 33
16. A triangle has an area of 90 cm² and a base of 20 cm. What is its height, in centimetres? (Answer: 9 cm)
90 × 2 ÷ 20 = 9
17. A triangular lawn has a base of 10 m and a height of 5 m. What is its area, in square metres? (Answer: 25 m²)
10 × 5 ÷ 2 = 25
18. A field shaped like a trapezium has parallel sides of 9 m and 10 m, and a height of 4 m. What is its area, in square metres? (Answer: 38 m²)
(9 + 10) × 4 ÷ 2 = 38
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