Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 65 · 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 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 38 cm (c) 6 cm (d) 3 cm
2. 2.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 32 cm
3. 3.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 112 sq cm (c) 46 sq cm (d) 128 sq cm
4. 4.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
5. 5.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 16 sq cm (d) 81 sq cm
6. 6.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
7. 7.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 28 cm (b) 45 cm (c) 23 cm (d) 14 cm
8. 8.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 108 sq cm (c) 20 sq cm (d) 40 sq cm
9. 9.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
10. 10.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 64 sq cm (c) 20 sq cm (d) 40 sq cm
11. 11.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 187 sq cm (b) 28 sq cm (c) 56 sq cm (d) 204 sq cm
12. 12.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 21 cm (c) 20 cm (d) 10 cm
13. 13.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 11 cm (d) 22 cm
14. 14.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 21 cm (c) 5 cm (d) 4 cm
15. 15.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
16. 16.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 14 cm (c) 7 cm (d) 8 cm
17. 17.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 11 cm (c) 10 cm (d) 20 cm
18. 18.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 12 sq cm
19. 19.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 12 sq cm (c) 8 sq cm (d) 16 sq cm
20. 20.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 140 cm (b) 48 cm (c) 24 cm (d) 38 cm
21. 21.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 51 cm (b) 8 cm (c) 5 cm (d) 4 cm
22. 22.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 75 sq cm (c) 40 sq cm (d) 90 sq cm
23. 23.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 15 cm (c) 28 cm (d) 30 cm
24. 24.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 36 sq cm (c) 65 sq cm (d) 18 sq cm
25. 25.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 120 sq cm (b) 132 sq cm (c) 44 sq cm (d) 22 sq cm
26. 26.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 108 cm (c) 8 cm (d) 7 cm
27. 27.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 10 cm (c) 48 cm (d) 5 cm
28. 28.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 22 cm (d) 20 cm
29. 29.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 15 cm (c) 9 cm (d) 18 cm
30. 30.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 63 cm
31. 31.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 76 sq cm (c) 57 sq cm (d) 44 sq cm
32. 32.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 1 cm (c) 3 cm (d) 2 cm
33. 33.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
34. 34.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 23 cm (d) 30 cm
35. 35.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 96 sq cm (c) 112 sq cm (d) 22 sq cm
36. 36.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 44 sq cm (b) 126 sq cm (c) 112 sq cm (d) 22 sq cm
37. 37.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 18 sq cm (d) 14 sq cm
38. 38.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 49 sq cm (c) 26 sq cm (d) 13 sq cm
39. 39.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 22 cm (c) 34 cm (d) 44 cm
40. 40.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 54 sq cm (b) 36 sq cm (c) 40 sq cm (d) 20 sq cm

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