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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 588 · 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 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 12 cm (d) 24 cm
  2. 2.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 46 cm (b) 90 cm (c) 41 cm (d) 23 cm
  3. 3.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  4. 4.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 25 sq cm (c) 50 sq cm (d) 156 sq cm
  5. 5.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 84 cm (c) 8 cm (d) 9 cm
  6. 6.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 54 cm (d) 24 cm
  7. 7.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 4 cm (c) 36 cm (d) 6 cm
  8. 8.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
  9. 9.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 30 sq cm (d) 36 sq cm
  10. 10.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 29 cm (b) 58 cm (c) 198 cm (d) 47 cm
  11. 11.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
  12. 12.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 15 sq cm (c) 60 sq cm (d) 30 sq cm
  13. 13.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 38 sq cm (c) 19 sq cm (d) 51 sq cm
  14. 14.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 45 cm (b) 28 cm (c) 187 cm (d) 56 cm
  15. 15.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 18 sq cm (d) 12 sq cm
  16. 16.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
  17. 17.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
  18. 18.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 11 sq cm (c) 22 sq cm (d) 18 sq cm
  19. 19.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 40 cm (c) 102 cm (d) 46 cm
  20. 20.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 56 cm (d) 32 cm
  21. 21.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 44 sq cm (b) 112 sq cm (c) 22 sq cm (d) 126 sq cm
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  23. 23.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 18 cm (c) 136 cm (d) 10 cm
  24. 24.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 32 sq cm (d) 63 sq cm
  25. 25.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 48 sq cm (c) 13 sq cm (d) 40 sq cm
  26. 26.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 22 sq cm (c) 11 sq cm (d) 28 sq cm
  27. 27.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 108 sq cm (c) 46 sq cm (d) 90 sq cm
  28. 28.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 104 sq cm (c) 40 sq cm (d) 20 sq cm
  29. 29.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  30. 30.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 112 cm (c) 22 cm (d) 36 cm
  31. 31.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 14 sq cm (c) 48 sq cm (d) 28 sq cm
  32. 32.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
  33. 33.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 23 cm (b) 76 cm (c) 42 cm (d) 46 cm
  34. 34.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 21 cm (c) 10 cm (d) 20 cm
  35. 35.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 99 cm
  36. 36.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 14 sq cm (c) 50 sq cm (d) 28 sq cm
  37. 37.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 76 sq cm (b) 57 sq cm (c) 44 sq cm (d) 22 sq cm
  38. 38.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 40 cm (c) 20 cm (d) 36 cm
  39. 39.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  40. 40.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 154 cm

Answer key

  1. 24 cm
  2. 46 cm
  3. 169 sq cm
  4. 156 sq cm
  5. 8 cm
  6. 30 cm
  7. 3 cm
  8. 36 sq cm
  9. 30 sq cm
  10. 58 cm
  11. 25 sq cm
  12. 50 sq cm
  13. 34 sq cm
  14. 56 cm
  15. 12 sq cm
  16. 64 sq cm
  17. 100 sq cm
  18. 18 sq cm
  19. 46 cm
  20. 36 cm
  21. 112 sq cm
  22. 144 sq cm
  23. 9 cm
  24. 63 sq cm
  25. 40 sq cm
  26. 28 sq cm
  27. 90 sq cm
  28. 91 sq cm
  29. 196 sq cm
  30. 44 cm
  31. 48 sq cm
  32. 64 sq cm
  33. 46 cm
  34. 20 cm
  35. 10 cm
  36. 40 sq cm
  37. 57 sq cm
  38. 40 cm
  39. 81 sq cm
  40. 12 cm

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