Perimeter, area and volume · Ages 10–11

Area of a parallelogram worksheet

Part of: Areas of parallelograms, triangles and trapeziums

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Perimeter, area and volume · Ages 10–11

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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.What is the area of this parallelogram?
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2.A parallelogram has a base of 4 cm and a height of 3 cm. What is its area in cm²?
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3.A parallelogram has a base of 15 cm and a height of 5 cm. What is its area in cm²?
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4.A parallelogram has a base of 17 cm and a height of 7 cm. What is its area in cm²?
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5.A parallelogram has a base of 8.4 m and a height of 2 m. What is its area in m²?
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6.A parallelogram has a base of 3.9 m and a height of 8 m. What is its area in m²?
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7.A parallelogram has base 9 cm, height 5 cm and slanting sides 6 cm. Cut the triangle off one end along the height and move it to the other end to make a rectangle. How long and how wide is the rectangle?
- A. 18 cm long, 5 cm wide
- B. 9 cm long, 6 cm wide
- C. 9 cm long, 5 cm wide
- D. 6 cm long, 5 cm wide
Choose the right answer
Answer:
8.A parallelogram has base 20 cm, height 10 cm and slanting sides 11 cm. Cut the triangle off one end along the height and move it to the other end to make a rectangle. How long and how wide is the rectangle?
- A. 40 cm long, 10 cm wide
- B. 11 cm long, 10 cm wide
- C. 20 cm long, 10 cm wide
- D. 20 cm long, 11 cm wide
Choose the right answer
Answer:
9.A parallelogram with base 4 cm and height 8 cm has an area of 16 cm².
True or false?
Answer:
10.A parallelogram has base 5 cm, height 5 cm and slanting sides 7 cm. Which working finds its area?
- A. 5 × 5
- B. 5 × 5 ÷ 2
- C. 5 × 7
- D. (5 + 7) × 2
Choose the right answer
Answer:
11.A parallelogram has base 6 cm, height 9 cm and slanting sides 12 cm. Which working finds its area?
- A. (6 + 12) × 2
- B. 6 × 9 ÷ 2
- C. 6 × 12
- D. 6 × 9
Choose the right answer
Answer:
12.A parallelogram with base 6 cm and height 12 cm has an area of 72 cm².
True or false?
Answer:

13.A parallelogram-shaped vegetable plot has a base of 11 m and a height of 4 m. 2 seedlings go in each square metre. How many seedlings is that in all?
Working:
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14.A car park has a parallelogram-shaped space painted on it: its base is 4 m, its slanting sides are 8 m, and the two bases are 6 m apart. What is the space's area in m²?
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15.A parallelogram-shaped tile has a base of 11 cm and a height of 5 cm. How many of these tiles exactly cover an area of 2255 cm²?
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16.May nails four sticks into a rectangular frame 10 cm by 16 cm, then pushes it over into a parallelogram. With the 10 cm side as the base, the height is 10 cm. By how many cm² has the area inside the frame shrunk?
Working:
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17.A parallelogram-shaped lawn has a base of 16 m and a height of 22 m. What is its area in m²?
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18.A parallelogram-shaped vegetable plot has a base of 11 m and a height of 8 m. 4 seedlings go in each square metre. How many seedlings is that in all?
Working:
Answer:

Show the answers and working

Area of a parallelogram worksheet: Answers and working

1. 176 cm²
Find the base and the square height in the picture, not the slanting side. Area is base times height.
Area = base × height = 16 × 11 = 176.
2. 12 cm²
A parallelogram's area is base × height: multiply 4 by 3.
4 × 3 = 12 cm².
3. 75 cm²
A parallelogram's area is base × height: multiply 15 by 5.
15 × 5 = 75 cm².
4. 119 cm²
A parallelogram's area is base × height: multiply 17 by 7.
17 × 7 = 119 cm².
5. 16.8 m²
Area is base × height: 8.4 × 2. You could work out 84 × 2 first, then divide by 10.
8.4 × 2 = 16.8 m².
6. 31.2 m²
Area is base × height: 3.9 × 8. You could work out 39 × 8 first, then divide by 10.
3.9 × 8 = 31.2 m².

7. C. 9 cm long, 5 cm wide
After the move, which sides of the rectangle do the old base and height become? Is the slanting 6 still on the edge?
After the move it is the base 9 long and the height 5 wide, with the same area: 9 × 5.
8. C. 20 cm long, 10 cm wide
After the move, which sides of the rectangle do the old base and height become? Is the slanting 11 still on the edge?
After the move it is the base 20 long and the height 10 wide, with the same area: 20 × 10.
9. False
Work out 4 × 8 yourself, then compare it with 16.
Base × height = 4 × 8 = 32 cm².
10. A. 5 × 5
Area needs only the base and the height square to it. Of 5, 5 and 7, which is the slanting side you don't need?
A parallelogram's area = base × height = 5 × 5; the slanting side isn't needed.
11. D. 6 × 9
Area needs only the base and the height square to it. Of 6, 9 and 12, which is the slanting side you don't need?
A parallelogram's area = base × height = 6 × 9; the slanting side isn't needed.
12. True
Work out 6 × 12 yourself, then compare it with 72.
Base × height = 6 × 12 = 72 cm².

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 88 seedlings
Find the plot's area, 11 × 4, first, then use 2 seedlings for each square metre.
Area 11 × 4 = 44 m²; 44 × 2 = 88 seedlings.
14. 24 m²
The distance between the two bases is the height. Do you need the 8 m sides?
The distance between the bases is the height: 4 × 6 = 24 m²; the 8 m sides aren't needed.
15. 41 tiles
Find one tile's area, 11 × 5, first, then see how many of those fit in 2255.
One tile is 11 × 5 = 55 cm²; 2255 ÷ 55 = 41 tiles.
16. 60 cm²
Pushing it over keeps the sides but changes the height. Find the rectangle, 10 × 16, and the parallelogram, 10 × 10, separately.
Rectangle 10 × 16 = 160, parallelogram 10 × 10 = 100 (the sides are the same but the height is lower): 160 − 100 = 60.
17. 352 m²
A parallelogram's area is base × height: multiply 16 by 22.
16 × 22 = 352 m².
18. 352 seedlings
Find the plot's area, 11 × 8, first, then use 4 seedlings for each square metre.
Area 11 × 8 = 88 m²; 88 × 4 = 352 seedlings.

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