Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 794 · 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 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
2. 2.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 38 cm (c) 34 cm (d) 19 cm
3. 3.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 45 sq cm (c) 18 sq cm (d) 36 sq cm
4. 4.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 12 cm (c) 13 cm (d) 24 cm
5. 5.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
6. 6.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 48 cm (c) 60 cm (d) 30 cm
7. 7.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 29 sq cm (c) 200 sq cm (d) 58 sq cm
8. 8.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 234 sq cm (d) 216 sq cm
9. 9.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
10. 10.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
11. 11.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
12. 12.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 20 cm (c) 40 cm (d) 36 cm
13. 13.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 16 cm (c) 25 cm (d) 32 cm
14. 14.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 3 cm (c) 16 cm (d) 4 cm
15. 15.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 13 cm (c) 24 cm (d) 12 cm
16. 16.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
17. 17.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 90 sq cm (c) 44 sq cm (d) 22 sq cm
18. 18.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 16 cm (c) 30 cm (d) 32 cm
19. 19.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 72 sq cm (d) 81 sq cm
20. 20.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 29 cm (b) 39 cm (c) 16 cm (d) 32 cm
21. 21.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 6 cm (c) 5 cm (d) 10 cm
22. 22.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 27 sq cm (d) 36 sq cm
23. 23.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 12 sq cm (d) 42 sq cm
24. 24.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 228 sq cm (b) 247 sq cm (c) 62 sq cm (d) 31 sq cm
25. 25.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 120 sq cm (c) 22 sq cm (d) 44 sq cm
26. 26.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 176 sq cm (b) 54 sq cm (c) 192 sq cm (d) 27 sq cm
27. 27.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 108 sq cm (b) 48 sq cm (c) 24 sq cm (d) 126 sq cm
28. 28.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 13 cm (c) 26 cm (d) 20 cm
29. 29.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 16 sq cm
30. 30.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 180 sq cm (b) 54 sq cm (c) 27 sq cm (d) 195 sq cm
31. 31.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
32. 32.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 20 cm (c) 11 cm (d) 10 cm
33. 33.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 26 sq cm (c) 13 sq cm (d) 40 sq cm
34. 34.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
35. 35.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 22 cm (c) 120 cm (d) 12 cm
36. 36.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 54 sq cm (c) 15 sq cm (d) 30 sq cm
37. 37.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
38. 38.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 84 cm (c) 8 cm (d) 7 cm
39. 39.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 108 sq cm (c) 42 sq cm (d) 120 sq cm
40. 40.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 6 cm (c) 100 cm (d) 7 cm

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