Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 804 · 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 square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
2. 2.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 119 sq cm (d) 136 sq cm
3. 3.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 23 cm (c) 30 cm (d) 26 cm
4. 4.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 22 cm (c) 150 cm (d) 11 cm
5. 5.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
6. 6.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 27 cm (c) 5 cm (d) 4 cm
7. 7.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 75 cm (c) 20 cm (d) 40 cm
8. 8.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
9. 9.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 10 sq cm (d) 30 sq cm
10. 10.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 2 cm (b) 20 cm (c) 4 cm (d) 3 cm
11. 11.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 14 cm (d) 22 cm
12. 12.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 56 sq cm (c) 70 sq cm (d) 18 sq cm
13. 13.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
14. 14.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 17 sq cm (c) 66 sq cm (d) 34 sq cm
15. 15.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 42 cm (b) 37 cm (c) 80 cm (d) 21 cm
16. 16.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
17. 17.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 26 sq cm (d) 169 sq cm
18. 18.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 42 sq cm (c) 26 sq cm (d) 49 sq cm
19. 19.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 60 cm (b) 29 cm (c) 17 cm (d) 34 cm
20. 20.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 10 cm (d) 20 cm
21. 21.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 40 sq cm (c) 75 sq cm (d) 20 sq cm
22. 22.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
23. 23.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 30 cm (c) 11 cm (d) 17 cm
24. 24.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 90 cm (c) 6 cm (d) 7 cm
25. 25.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 77 sq cm (c) 88 sq cm (d) 36 sq cm
26. 26.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 24 sq cm (d) 22 sq cm
27. 27.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 35 sq cm (d) 42 sq cm
28. 28.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 25 cm (c) 16 cm (d) 63 cm
29. 29.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
30. 30.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 84 cm (b) 16 cm (c) 9 cm (d) 8 cm
31. 31.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 120 sq cm (d) 105 sq cm
32. 32.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 57 cm (b) 8 cm (c) 5 cm (d) 4 cm
33. 33.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
34. 34.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
35. 35.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm
36. 36.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 12 sq cm (d) 32 sq cm
37. 37.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 20 cm (c) 144 cm (d) 10 cm
38. 38.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 204 sq cm (c) 58 sq cm (d) 221 sq cm
39. 39.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 120 sq cm (b) 23 sq cm (c) 135 sq cm (d) 46 sq cm
40. 40.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 60 cm (d) 34 cm

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