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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 525 · 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 has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 2 cm (b) 18 cm (c) 4 cm (d) 3 cm
  2. 2.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 29 cm (b) 48 cm (c) 190 cm (d) 58 cm
  3. 3.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 72 cm (c) 26 cm (d) 34 cm
  4. 4.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 56 sq cm (c) 64 sq cm (d) 30 sq cm
  5. 5.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  6. 6.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 10 cm (c) 6 cm (d) 4 cm
  7. 7.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 76 cm
  8. 8.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
  9. 9.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  11. 11.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 136 cm (b) 9 cm (c) 10 cm (d) 18 cm
  12. 12.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  13. 13.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
  14. 14.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 33 cm (c) 18 cm (d) 36 cm
  15. 15.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 162 cm (c) 54 cm (d) 27 cm
  16. 16.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 169 sq cm (d) 52 sq cm
  17. 17.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 176 cm (b) 54 cm (c) 27 cm (d) 43 cm
  18. 18.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
  19. 19.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 22 cm (d) 14 cm
  20. 20.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 52 cm (c) 26 cm (d) 45 cm
  21. 21.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 81 sq cm (c) 72 sq cm (d) 17 sq cm
  22. 22.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 18 cm (c) 20 cm (d) 11 cm
  23. 23.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  24. 24.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 17 cm (c) 42 cm (d) 34 cm
  25. 25.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 50 sq cm (b) 150 sq cm (c) 25 sq cm (d) 165 sq cm
  26. 26.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 33 cm (b) 108 cm (c) 21 cm (d) 42 cm
  27. 27.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
  28. 28.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 108 cm (c) 42 cm (d) 48 cm
  29. 29.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 60 sq cm (c) 16 sq cm (d) 32 sq cm
  30. 30.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
  31. 31.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 76 sq cm (b) 46 sq cm (c) 95 sq cm (d) 23 sq cm
  32. 32.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 126 cm (c) 11 cm (d) 10 cm
  33. 33.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 15 cm (c) 2 cm (d) 4 cm
  34. 34.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 144 cm (c) 44 cm (d) 52 cm
  35. 35.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 180 sq cm (b) 198 sq cm (c) 28 sq cm (d) 56 sq cm
  36. 36.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 20 sq cm (c) 64 sq cm (d) 40 sq cm
  37. 37.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 60 cm (c) 32 cm (d) 16 cm
  38. 38.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 32 cm (c) 36 cm (d) 18 cm
  39. 39.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 20 sq cm (d) 12 sq cm
  40. 40.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 46 cm (c) 120 cm (d) 23 cm

Answer key

  1. 2 cm
  2. 58 cm
  3. 34 cm
  4. 56 sq cm
  5. 25 sq cm
  6. 3 cm
  7. 5 cm
  8. 30 sq cm
  9. 128 sq cm
  10. 81 sq cm
  11. 9 cm
  12. 49 sq cm
  13. 144 sq cm
  14. 36 cm
  15. 54 cm
  16. 169 sq cm
  17. 54 cm
  18. 100 sq cm
  19. 28 cm
  20. 52 cm
  21. 72 sq cm
  22. 22 cm
  23. 196 sq cm
  24. 34 cm
  25. 150 sq cm
  26. 42 cm
  27. 72 sq cm
  28. 48 cm
  29. 60 sq cm
  30. 121 sq cm
  31. 76 sq cm
  32. 10 cm
  33. 2 cm
  34. 52 cm
  35. 180 sq cm
  36. 64 sq cm
  37. 32 cm
  38. 36 cm
  39. 20 sq cm
  40. 46 cm

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