Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 28 · 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 is 20 cm long and 9 cm wide. What is its area? (a) 58 sq cm (b) 200 sq cm (c) 180 sq cm (d) 29 sq cm
2. 2.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 16 cm (d) 10 cm
3. 3.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 19 cm (c) 2 cm (d) 3 cm
4. 4.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
5. 5.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 7 cm (c) 8 cm (d) 14 cm
6. 6.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 39 cm (c) 46 cm (d) 23 cm
7. 7.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
8. 8.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 11 sq cm (d) 18 sq cm
9. 9.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 85 sq cm (d) 68 sq cm
10. 10.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 22 cm (c) 44 cm (d) 41 cm
11. 11.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 34 cm
12. 12.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
13. 13.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 4 cm (c) 36 cm (d) 3 cm
14. 14.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 120 sq cm (d) 100 sq cm
15. 15.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
16. 16.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 12 cm (d) 24 cm
17. 17.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 12 cm
18. 18.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 38 cm (c) 4 cm (d) 3 cm
19. 19.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
20. 20.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 91 cm (c) 40 cm (d) 33 cm
21. 21.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 20 cm
22. 22.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
23. 23.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 29 cm (b) 198 cm (c) 47 cm (d) 58 cm
24. 24.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 26 cm (b) 23 cm (c) 30 cm (d) 13 cm
25. 25.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 26 cm (d) 28 cm
26. 26.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 165 cm (c) 41 cm (d) 52 cm
27. 27.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 10 cm (b) 6 cm (c) 36 cm (d) 5 cm
28. 28.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 26 sq cm (c) 36 sq cm (d) 13 sq cm
29. 29.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 168 sq cm (b) 182 sq cm (c) 52 sq cm (d) 26 sq cm
30. 30.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 42 sq cm (d) 13 sq cm
31. 31.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 19 sq cm (c) 18 sq cm (d) 9 sq cm
32. 32.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
33. 33.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 14 cm (c) 28 cm (d) 25 cm
34. 34.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 24 sq cm (d) 11 sq cm
35. 35.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 55 sq cm (d) 44 sq cm
36. 36.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 15 cm (c) 30 cm (d) 24 cm
37. 37.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 24 sq cm (d) 20 sq cm
38. 38.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 12 sq cm (d) 16 sq cm
39. 39.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 84 cm (c) 8 cm (d) 9 cm
40. 40.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 165 cm

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