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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 294 · 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) 18 cm (b) 19 cm (c) 9 cm (d) 15 cm
  2. 2.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 14 cm (d) 16 cm
  3. 3.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 84 sq cm (c) 72 sq cm (d) 36 sq cm
  4. 4.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 28 cm (c) 14 cm (d) 26 cm
  5. 5.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
  6. 6.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
  7. 7.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 24 cm (b) 135 cm (c) 48 cm (d) 39 cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
  9. 9.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 90 sq cm (c) 38 sq cm (d) 100 sq cm
  10. 10.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 36 sq cm (c) 18 sq cm (d) 60 sq cm
  11. 11.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 15 cm (c) 5 cm (d) 8 cm
  12. 12.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 40 sq cm (c) 20 sq cm (d) 64 sq cm
  13. 13.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 40 cm
  14. 14.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 11 sq cm (d) 30 sq cm
  15. 15.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 18 sq cm (d) 9 sq cm
  16. 16.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 39 cm (c) 85 cm (d) 44 cm
  17. 17.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 30 sq cm (b) 228 sq cm (c) 60 sq cm (d) 209 sq cm
  18. 18.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  19. 19.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
  20. 20.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  21. 21.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 62 sq cm (c) 228 sq cm (d) 31 sq cm
  22. 22.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  23. 23.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 144 sq cm (d) 132 sq cm
  24. 24.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 135 sq cm (b) 120 sq cm (c) 23 sq cm (d) 46 sq cm
  25. 25.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 40 sq cm (d) 12 sq cm
  26. 26.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 14 cm
  27. 27.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 56 cm (b) 36 cm (c) 18 cm (d) 32 cm
  28. 28.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 19 sq cm (c) 24 sq cm (d) 18 sq cm
  29. 29.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
  30. 30.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 42 cm (d) 44 cm
  31. 31.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 44 sq cm (c) 22 sq cm (d) 90 sq cm
  32. 32.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 98 sq cm (d) 112 sq cm
  33. 33.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 108 sq cm (d) 120 sq cm
  34. 34.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
  35. 35.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 32 cm (c) 16 cm (d) 25 cm
  36. 36.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 16 sq cm (d) 24 sq cm
  37. 37.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
  38. 38.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 20 sq cm (c) 99 sq cm (d) 40 sq cm
  39. 39.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 60 sq cm (b) 16 sq cm (c) 70 sq cm (d) 32 sq cm
  40. 40.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 54 cm (c) 8 cm (d) 14 cm

Answer key

  1. 18 cm
  2. 16 cm
  3. 72 sq cm
  4. 28 cm
  5. 170 sq cm
  6. 25 sq cm
  7. 48 cm
  8. 36 sq cm
  9. 90 sq cm
  10. 45 sq cm
  11. 4 cm
  12. 64 sq cm
  13. 3 cm
  14. 30 sq cm
  15. 14 sq cm
  16. 44 cm
  17. 209 sq cm
  18. 225 sq cm
  19. 12 sq cm
  20. 169 sq cm
  21. 228 sq cm
  22. 49 sq cm
  23. 132 sq cm
  24. 120 sq cm
  25. 32 sq cm
  26. 3 cm
  27. 36 cm
  28. 18 sq cm
  29. 81 sq cm
  30. 44 cm
  31. 72 sq cm
  32. 98 sq cm
  33. 108 sq cm
  34. 100 sq cm
  35. 32 cm
  36. 16 sq cm
  37. 196 sq cm
  38. 99 sq cm
  39. 60 sq cm
  40. 7 cm

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