Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 489 · 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 42 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 28 cm
2. 2.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 49 sq cm (d) 14 sq cm
3. 3.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 220 sq cm (c) 62 sq cm (d) 31 sq cm
4. 4.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 78 sq cm (c) 19 sq cm (d) 91 sq cm
5. 5.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 198 cm
6. 6.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
7. 7.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 120 cm
8. 8.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 36 cm (c) 40 cm (d) 38 cm
9. 9.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
10. 10.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
11. 11.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 16 sq cm (d) 12 sq cm
12. 12.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 27 sq cm (c) 54 sq cm (d) 187 sq cm
13. 13.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
14. 14.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
15. 15.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 30 sq cm (d) 36 sq cm
16. 16.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 72 sq cm (c) 21 sq cm (d) 54 sq cm
17. 17.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
18. 18.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 36 cm (c) 20 cm (d) 64 cm
19. 19.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
20. 20.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 4 cm (c) 6 cm (d) 3 cm
21. 21.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
22. 22.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 32 sq cm (c) 16 sq cm (d) 39 sq cm
23. 23.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 38 sq cm (c) 19 sq cm (d) 70 sq cm
24. 24.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 45 cm
25. 25.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 24 sq cm (d) 19 sq cm
26. 26.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 12 cm (c) 180 cm (d) 11 cm
27. 27.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 112 sq cm (c) 98 sq cm (d) 21 sq cm
28. 28.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 29 cm (b) 32 cm (c) 39 cm (d) 16 cm
29. 29.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 8 cm (c) 12 cm (d) 16 cm
30. 30.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 22 cm (d) 28 cm
31. 31.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 4 cm (c) 3 cm (d) 2 cm
32. 32.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 21 cm (c) 10 cm (d) 17 cm
33. 33.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 9 cm (c) 96 cm (d) 18 cm
34. 34.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 234 sq cm (b) 216 sq cm (c) 30 sq cm (d) 60 sq cm
35. 35.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 27 cm (b) 43 cm (c) 54 cm (d) 176 cm
36. 36.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 60 cm
37. 37.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 12 sq cm (c) 24 sq cm (d) 30 sq cm
38. 38.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 10 cm (c) 16 cm (d) 20 cm
39. 39.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 43 cm (b) 52 cm (c) 26 cm (d) 153 cm
40. 40.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 19 cm (d) 38 cm

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