Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 15 · 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 17 cm long and 6 cm wide. What is its area? (a) 119 sq cm (b) 46 sq cm (c) 102 sq cm (d) 23 sq cm
2. 2.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 11 sq cm (c) 22 sq cm (d) 18 sq cm
3. 3.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
4. 4.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 36 sq cm (c) 18 sq cm (d) 80 sq cm
5. 5.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
6. 6.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
7. 7.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 54 sq cm (c) 42 sq cm (d) 72 sq cm
8. 8.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 18 sq cm (d) 12 sq cm
9. 9.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
10. 10.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
11. 11.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 24 sq cm (b) 150 sq cm (c) 48 sq cm (d) 135 sq cm
12. 12.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 12 cm (d) 24 cm
13. 13.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 24 cm (c) 22 cm (d) 19 cm
14. 14.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 256 sq cm (d) 30 sq cm
15. 15.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
16. 16.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 39 sq cm (b) 15 sq cm (c) 30 sq cm (d) 26 sq cm
17. 17.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 36 sq cm (c) 15 sq cm (d) 30 sq cm
18. 18.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm
19. 19.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) 165 cm (d) 12 cm
20. 20.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 117 sq cm (b) 44 sq cm (c) 22 sq cm (d) 130 sq cm
21. 21.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 24 sq cm (c) 35 sq cm (d) 12 sq cm
22. 22.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 18 sq cm (d) 36 sq cm
23. 23.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 162 cm (c) 10 cm (d) 11 cm
24. 24.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 8 cm (c) 24 cm (d) 4 cm
25. 25.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 62 sq cm (b) 31 sq cm (c) 220 sq cm (d) 240 sq cm
26. 26.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 34 sq cm (b) 72 sq cm (c) 60 sq cm (d) 17 sq cm
27. 27.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 14 cm (c) 23 cm (d) 28 cm
28. 28.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 38 sq cm (c) 21 sq cm (d) 57 sq cm
29. 29.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 40 cm (c) 102 cm (d) 23 cm
30. 30.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 36 sq cm (b) 72 sq cm (c) 18 sq cm (d) 84 sq cm
31. 31.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
32. 32.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 187 sq cm (b) 204 sq cm (c) 56 sq cm (d) 28 sq cm
33. 33.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 96 cm
34. 34.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 24 cm (c) 12 cm (d) 21 cm
35. 35.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 144 cm (b) 44 cm (c) 52 cm (d) 26 cm
36. 36.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
37. 37.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 15 cm (c) 23 cm (d) 30 cm
38. 38.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 225 sq cm (d) 56 sq cm
39. 39.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 30 cm
40. 40.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 36 sq cm (d) 11 sq cm

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