Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 748 · 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 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
2. 2.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 52 sq cm (c) 32 sq cm (d) 16 sq cm
3. 3.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
4. 4.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
5. 5.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 100 sq cm (d) 40 sq cm
6. 6.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
7. 7.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 9 cm (d) 18 cm
8. 8.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 26 sq cm (c) 133 sq cm (d) 52 sq cm
9. 9.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 13 sq cm (c) 49 sq cm (d) 26 sq cm
10. 10.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
11. 11.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 95 cm (b) 6 cm (c) 7 cm (d) 12 cm
12. 12.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 15 cm (c) 54 cm (d) 30 cm
13. 13.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 2 cm (b) 11 cm (c) 3 cm (d) 4 cm
14. 14.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 36 cm (b) 65 cm (c) 31 cm (d) 18 cm
15. 15.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 46 sq cm (c) 23 sq cm (d) 128 sq cm
16. 16.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
17. 17.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 99 cm (b) 40 cm (c) 31 cm (d) 20 cm
18. 18.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 220 cm
19. 19.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
20. 20.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 22 cm (d) 12 cm
21. 21.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 45 cm (c) 50 cm (d) 25 cm
22. 22.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
23. 23.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 28 cm (d) 18 cm
24. 24.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 22 cm (b) 117 cm (c) 44 cm (d) 35 cm
25. 25.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
26. 26.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 12 cm (c) 24 cm (d) 13 cm
27. 27.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 9 cm (c) 105 cm (d) 8 cm
28. 28.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 13 cm (c) 26 cm (d) 22 cm
29. 29.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 54 cm (b) 176 cm (c) 43 cm (d) 27 cm
30. 30.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 21 sq cm (c) 112 sq cm (d) 42 sq cm
31. 31.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 28 cm (c) 4 cm (d) 6 cm
32. 32.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 36 cm (b) 4 cm (c) 5 cm (d) 8 cm
33. 33.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 96 sq cm (d) 84 sq cm
34. 34.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 36 sq cm (c) 26 sq cm (d) 13 sq cm
35. 35.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 57 cm
36. 36.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 136 sq cm (b) 25 sq cm (c) 50 sq cm (d) 153 sq cm
37. 37.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 28 cm (b) 23 cm (c) 45 cm (d) 14 cm
38. 38.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 51 cm (b) 4 cm (c) 5 cm (d) 8 cm
39. 39.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 77 cm (b) 29 cm (c) 36 cm (d) 18 cm
40. 40.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 81 sq cm (c) 72 sq cm (d) 17 sq cm

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