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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 30 · 40 questions
TalentJR

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.

NameDateTime takenScore ___ / 40
  1. 1.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 45 sq cm (c) 14 sq cm (d) 54 sq cm
  2. 2.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 60 sq cm (c) 45 sq cm (d) 36 sq cm
  3. 3.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 8 sq cm (d) 16 sq cm
  4. 4.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 20 sq cm (c) 68 sq cm (d) 40 sq cm
  5. 5.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 38 sq cm (d) 57 sq cm
  6. 6.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 38 cm (c) 19 cm (d) 78 cm
  7. 7.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 100 sq cm (d) 90 sq cm
  8. 8.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 81 sq cm (d) 32 sq cm
  9. 9.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 23 sq cm (c) 46 sq cm (d) 90 sq cm
  10. 10.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 70 sq cm (b) 19 sq cm (c) 38 sq cm (d) 84 sq cm
  11. 11.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 54 sq cm (b) 171 sq cm (c) 27 sq cm (d) 152 sq cm
  12. 12.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 143 cm
  13. 13.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 27 cm (c) 24 cm (d) 21 cm
  14. 14.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 18 cm (c) 96 cm (d) 9 cm
  15. 15.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 221 sq cm (c) 204 sq cm (d) 29 sq cm
  16. 16.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 120 sq cm (c) 108 sq cm (d) 21 sq cm
  17. 17.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 6 cm (c) 4 cm (d) 3 cm
  18. 18.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 64 sq cm (c) 40 sq cm (d) 20 sq cm
  19. 19.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 37 cm (b) 44 cm (c) 22 cm (d) 105 cm
  20. 20.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 60 cm (b) 49 cm (c) 209 cm (d) 30 cm
  21. 21.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 60 cm (c) 30 cm (d) 48 cm
  22. 22.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 96 sq cm (c) 19 sq cm (d) 38 sq cm
  23. 23.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 76 cm (c) 5 cm (d) 6 cm
  24. 24.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 48 sq cm (d) 13 sq cm
  25. 25.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 20 cm (c) 117 cm (d) 10 cm
  26. 26.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  27. 27.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 14 cm (b) 8 cm (c) 78 cm (d) 7 cm
  28. 28.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 21 cm (c) 26 cm (d) 40 cm
  29. 29.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 27 sq cm (c) 36 sq cm (d) 12 sq cm
  30. 30.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 160 sq cm (b) 56 sq cm (c) 28 sq cm (d) 180 sq cm
  31. 31.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 16 sq cm (c) 32 sq cm (d) 28 sq cm
  32. 32.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  33. 33.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  34. 34.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 36 cm (c) 26 cm (d) 13 cm
  35. 35.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 10 cm (c) 5 cm (d) 6 cm
  36. 36.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 12 cm (c) 200 cm (d) 22 cm
  37. 37.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 16 sq cm (d) 20 sq cm
  38. 38.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 14 cm (c) 108 cm (d) 8 cm
  39. 39.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  40. 40.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 29 cm (d) 39 cm

Answer key

  1. 45 sq cm
  2. 45 sq cm
  3. 12 sq cm
  4. 51 sq cm
  5. 38 sq cm
  6. 38 cm
  7. 90 sq cm
  8. 64 sq cm
  9. 90 sq cm
  10. 70 sq cm
  11. 152 sq cm
  12. 12 cm
  13. 24 cm
  14. 9 cm
  15. 204 sq cm
  16. 108 sq cm
  17. 3 cm
  18. 64 sq cm
  19. 44 cm
  20. 60 cm
  21. 60 cm
  22. 84 sq cm
  23. 5 cm
  24. 40 sq cm
  25. 10 cm
  26. 36 sq cm
  27. 7 cm
  28. 26 cm
  29. 27 sq cm
  30. 160 sq cm
  31. 28 sq cm
  32. 225 sq cm
  33. 169 sq cm
  34. 26 cm
  35. 5 cm
  36. 11 cm
  37. 16 sq cm
  38. 7 cm
  39. 81 sq cm
  40. 32 cm

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