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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 427 · 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 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 18 cm (c) 9 cm (d) 19 cm
  2. 2.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 24 sq cm (d) 32 sq cm
  3. 3.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
  4. 4.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
  5. 5.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) 4 cm (d) 3 cm
  6. 6.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 48 cm (d) 216 cm
  7. 7.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 57 cm (c) 4 cm (d) 8 cm
  8. 8.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 46 sq cm (b) 144 sq cm (c) 132 sq cm (d) 23 sq cm
  9. 9.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 72 cm
  10. 10.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 60 cm (b) 6 cm (c) 10 cm (d) 5 cm
  11. 11.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 29 cm (b) 58 cm (c) 190 cm (d) 48 cm
  12. 12.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  13. 13.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  14. 14.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 135 sq cm (b) 23 sq cm (c) 46 sq cm (d) 120 sq cm
  15. 15.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 14 cm (c) 8 cm (d) 7 cm
  16. 16.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 16 sq cm (c) 60 sq cm (d) 32 sq cm
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 36 sq cm (d) 18 sq cm
  18. 18.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  19. 19.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 180 sq cm (c) 165 sq cm (d) 26 sq cm
  20. 20.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 187 cm
  21. 21.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 40 sq cm (b) 84 sq cm (c) 98 sq cm (d) 20 sq cm
  22. 22.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
  23. 23.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 228 cm (b) 31 cm (c) 62 cm (d) 50 cm
  24. 24.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 70 sq cm (d) 80 sq cm
  25. 25.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  26. 26.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 7 cm (c) 114 cm (d) 8 cm
  27. 27.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 3 cm (c) 2 cm (d) 4 cm
  28. 28.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 221 sq cm (b) 204 sq cm (c) 29 sq cm (d) 58 sq cm
  29. 29.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 77 sq cm (b) 36 sq cm (c) 88 sq cm (d) 18 sq cm
  30. 30.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) 12 cm (d) 120 cm
  31. 31.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 27 sq cm (c) 54 sq cm (d) 140 sq cm
  32. 32.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 76 cm (c) 23 cm (d) 46 cm
  33. 33.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  34. 34.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 42 sq cm (c) 17 sq cm (d) 34 sq cm
  35. 35.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 39 cm (b) 8 cm (c) 5 cm (d) 4 cm
  36. 36.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 24 cm (c) 13 cm (d) 12 cm
  37. 37.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 56 cm
  38. 38.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 28 cm (c) 18 cm (d) 80 cm
  39. 39.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 27 cm
  40. 40.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 8 sq cm (d) 18 sq cm

Answer key

  1. 18 cm
  2. 32 sq cm
  3. 36 sq cm
  4. 25 sq cm
  5. 2 cm
  6. 60 cm
  7. 4 cm
  8. 132 sq cm
  9. 5 cm
  10. 5 cm
  11. 58 cm
  12. 64 sq cm
  13. 100 sq cm
  14. 120 sq cm
  15. 7 cm
  16. 48 sq cm
  17. 81 sq cm
  18. 225 sq cm
  19. 165 sq cm
  20. 12 cm
  21. 84 sq cm
  22. 49 sq cm
  23. 62 cm
  24. 70 sq cm
  25. 121 sq cm
  26. 7 cm
  27. 2 cm
  28. 204 sq cm
  29. 77 sq cm
  30. 11 cm
  31. 140 sq cm
  32. 46 cm
  33. 169 sq cm
  34. 42 sq cm
  35. 4 cm
  36. 12 cm
  37. 5 cm
  38. 36 cm
  39. 4 cm
  40. 12 sq cm

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