Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 70 · 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 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 54 cm
2. 2.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
3. 3.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 3 cm (c) 8 cm (d) 4 cm
4. 4.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
5. 5.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 81 sq cm (c) 17 sq cm (d) 34 sq cm
6. 6.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 260 sq cm (c) 32 sq cm (d) 240 sq cm
7. 7.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 21 cm (c) 68 cm (d) 42 cm
8. 8.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 13 sq cm (c) 40 sq cm (d) 26 sq cm
9. 9.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 17 cm (c) 70 cm (d) 34 cm
10. 10.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 114 sq cm (d) 95 sq cm
11. 11.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
12. 12.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 45 cm (b) 187 cm (c) 28 cm (d) 56 cm
13. 13.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 28 cm (c) 10 cm (d) 6 cm
14. 14.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 133 sq cm (c) 26 sq cm (d) 152 sq cm
15. 15.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
16. 16.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 117 sq cm (c) 21 sq cm (d) 104 sq cm
17. 17.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 28 cm (d) 22 cm
18. 18.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
19. 19.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
20. 20.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 26 cm (d) 24 cm
21. 21.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 13 cm (c) 24 cm (d) 12 cm
22. 22.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
23. 23.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 18 sq cm (c) 65 sq cm (d) 36 sq cm
24. 24.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 12 cm (c) 22 cm (d) 11 cm
25. 25.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
26. 26.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
27. 27.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 56 cm (c) 36 cm (d) 18 cm
28. 28.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 144 cm (c) 11 cm (d) 20 cm
29. 29.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 50 cm (b) 42 cm (c) 25 cm (d) 136 cm
30. 30.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 38 cm (c) 33 cm (d) 19 cm
31. 31.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 90 cm (c) 7 cm (d) 12 cm
32. 32.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 70 sq cm (c) 16 sq cm (d) 60 sq cm
33. 33.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 58 cm (b) 47 cm (c) 198 cm (d) 29 cm
34. 34.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 105 cm (b) 9 cm (c) 16 cm (d) 8 cm
35. 35.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 18 cm (d) 10 cm
36. 36.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 13 sq cm (c) 36 sq cm (d) 26 sq cm
37. 37.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 8 cm (d) 12 cm
38. 38.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 198 sq cm (d) 180 sq cm
39. 39.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 72 cm (c) 26 cm (d) 34 cm
40. 40.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 119 sq cm (b) 102 sq cm (c) 46 sq cm (d) 23 sq cm

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