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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 590 · 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 17 cm long and 11 cm wide. What is its perimeter? (a) 56 cm (b) 187 cm (c) 28 cm (d) 45 cm
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  3. 3.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 105 sq cm (c) 90 sq cm (d) 21 sq cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  5. 5.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
  6. 6.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  7. 7.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 12 cm (c) 22 cm (d) 11 cm
  8. 8.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 63 cm
  9. 9.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
  10. 10.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 6 cm (c) 7 cm (d) 12 cm
  11. 11.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 47 cm (b) 56 cm (c) 28 cm (d) 171 cm
  12. 12.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 21 cm (d) 17 cm
  13. 13.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 85 sq cm (c) 42 sq cm (d) 68 sq cm
  14. 14.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 8 cm (c) 4 cm (d) 5 cm
  15. 15.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  16. 16.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 15 sq cm (c) 55 sq cm (d) 30 sq cm
  17. 17.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
  18. 18.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  19. 19.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 27 cm (c) 36 cm (d) 15 cm
  20. 20.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 48 sq cm (d) 60 sq cm
  21. 21.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 26 cm (c) 45 cm (d) 52 cm
  22. 22.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 10 cm (c) 9 cm (d) 18 cm
  23. 23.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 7 cm (c) 55 cm (d) 12 cm
  24. 24.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 25 cm (c) 154 cm (d) 50 cm
  25. 25.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 51 cm (c) 20 cm (d) 40 cm
  26. 26.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 52 cm (b) 5 cm (c) 6 cm (d) 10 cm
  27. 27.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 114 sq cm (c) 133 sq cm (d) 25 sq cm
  28. 28.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 30 sq cm
  29. 29.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 24 cm
  30. 30.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 13 cm (c) 21 cm (d) 26 cm
  31. 31.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 6 cm (c) 44 cm (d) 10 cm
  32. 32.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 25 cm (b) 44 cm (c) 50 cm (d) 114 cm
  33. 33.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 198 sq cm (b) 29 sq cm (c) 216 sq cm (d) 58 sq cm
  34. 34.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 30 cm (c) 15 cm (d) 24 cm
  35. 35.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 22 cm (d) 11 cm
  36. 36.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 28 sq cm (c) 10 sq cm (d) 20 sq cm
  37. 37.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 88 sq cm (d) 77 sq cm
  38. 38.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  39. 39.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 22 sq cm (c) 96 sq cm (d) 44 sq cm
  40. 40.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 42 sq cm (c) 49 sq cm (d) 13 sq cm

Answer key

  1. 56 cm
  2. 49 sq cm
  3. 90 sq cm
  4. 36 sq cm
  5. 3 cm
  6. 64 sq cm
  7. 11 cm
  8. 8 cm
  9. 100 sq cm
  10. 6 cm
  11. 56 cm
  12. 20 cm
  13. 68 sq cm
  14. 4 cm
  15. 121 sq cm
  16. 44 sq cm
  17. 44 cm
  18. 196 sq cm
  19. 30 cm
  20. 48 sq cm
  21. 52 cm
  22. 9 cm
  23. 6 cm
  24. 50 cm
  25. 40 cm
  26. 5 cm
  27. 114 sq cm
  28. 24 sq cm
  29. 4 cm
  30. 26 cm
  31. 5 cm
  32. 50 cm
  33. 198 sq cm
  34. 30 cm
  35. 22 cm
  36. 21 sq cm
  37. 77 sq cm
  38. 81 sq cm
  39. 96 sq cm
  40. 42 sq cm

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