Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 827 · 40 questions

How to solve it (Round or inside?): Rectangle: perimeter = 2 × (length + width); area = length × width. Square: perimeter = 4 × side; area = side × side. From the perimeter, side = perimeter ÷ 4. Missing side: width = area ÷ length.

1. 1.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 7 cm (c) 6 cm (d) 12 cm
2. 2.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
3. 3.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 153 sq cm (d) 170 sq cm
4. 4.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 12 cm (c) 150 cm (d) 11 cm
5. 5.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 44 cm (b) 35 cm (c) 117 cm (d) 22 cm
6. 6.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
7. 7.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 200 sq cm (c) 58 sq cm (d) 180 sq cm
8. 8.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
9. 9.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 24 cm (c) 14 cm (d) 40 cm
10. 10.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 14 cm (c) 22 cm (d) 28 cm
11. 11.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 18 sq cm (d) 8 sq cm
12. 12.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 135 sq cm (b) 23 sq cm (c) 120 sq cm (d) 46 sq cm
13. 13.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 19 sq cm (b) 84 sq cm (c) 38 sq cm (d) 70 sq cm
14. 14.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
15. 15.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 112 cm
16. 16.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 54 cm (c) 5 cm (d) 4 cm
17. 17.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
18. 18.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 31 sq cm (b) 247 sq cm (c) 62 sq cm (d) 228 sq cm
19. 19.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 48 cm (b) 60 cm (c) 30 cm (d) 216 cm
20. 20.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 36 cm (c) 64 cm (d) 40 cm
21. 21.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
22. 22.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 24 sq cm (d) 36 sq cm
23. 23.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 54 cm (c) 15 cm (d) 30 cm
24. 24.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 24 cm (c) 6 cm (d) 10 cm
25. 25.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 75 sq cm (c) 20 sq cm (d) 90 sq cm
26. 26.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 81 sq cm (d) 32 sq cm
27. 27.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 114 cm (c) 7 cm (d) 8 cm
28. 28.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 4 cm (c) 10 cm (d) 2 cm
29. 29.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 11 cm (d) 19 cm
30. 30.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 11 cm (c) 30 cm (d) 22 cm
31. 31.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 60 cm (c) 38 cm (d) 19 cm
32. 32.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 8 cm (d) 12 cm
33. 33.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 11 sq cm (c) 35 sq cm (d) 22 sq cm
34. 34.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 12 cm (c) 24 cm (d) 19 cm
35. 35.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
36. 36.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 70 cm (c) 7 cm (d) 6 cm
37. 37.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 22 sq cm (c) 44 sq cm (d) 112 sq cm
38. 38.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 5 cm (c) 6 cm (d) 10 cm
39. 39.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 140 cm
40. 40.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 34 sq cm (c) 81 sq cm (d) 17 sq cm

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