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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 459 · 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 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
  2. 2.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 15 cm (c) 30 cm (d) 36 cm
  3. 3.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 68 cm
  4. 4.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 95 sq cm (c) 48 sq cm (d) 114 sq cm
  5. 5.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 22 cm (d) 11 cm
  6. 6.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 42 sq cm (c) 26 sq cm (d) 13 sq cm
  7. 7.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 30 cm (c) 24 cm (d) 15 cm
  8. 8.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 22 sq cm (c) 44 sq cm (d) 90 sq cm
  9. 9.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
  10. 10.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 51 cm
  11. 11.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 13 sq cm (c) 22 sq cm (d) 26 sq cm
  12. 12.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 18 cm (c) 96 cm (d) 9 cm
  13. 13.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  14. 14.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 14 cm (d) 12 cm
  15. 15.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 28 sq cm (c) 35 sq cm (d) 22 sq cm
  16. 16.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 24 cm (b) 40 cm (c) 48 cm (d) 128 cm
  17. 17.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 133 cm (c) 45 cm (d) 52 cm
  18. 18.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 130 sq cm (d) 143 sq cm
  19. 19.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
  20. 20.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 48 sq cm (d) 36 sq cm
  21. 21.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  22. 22.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 187 cm (b) 28 cm (c) 45 cm (d) 56 cm
  23. 23.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 105 cm (b) 16 cm (c) 8 cm (d) 9 cm
  24. 24.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 112 cm
  25. 25.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 12 cm (c) 7 cm (d) 6 cm
  26. 26.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 85 sq cm (d) 102 sq cm
  27. 27.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 60 sq cm (d) 80 sq cm
  28. 28.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 40 sq cm (c) 20 sq cm (d) 54 sq cm
  29. 29.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 64 sq cm (c) 56 sq cm (d) 30 sq cm
  30. 30.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
  31. 31.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 38 sq cm (c) 19 sq cm (d) 75 sq cm
  32. 32.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 21 sq cm (d) 28 sq cm
  33. 33.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 54 sq cm (c) 30 sq cm (d) 63 sq cm
  34. 34.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
  35. 35.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 6 cm (c) 3 cm (d) 4 cm
  36. 36.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
  37. 37.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 10 cm (c) 117 cm (d) 20 cm
  38. 38.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 66 sq cm (b) 34 sq cm (c) 77 sq cm (d) 17 sq cm
  39. 39.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 187 cm (c) 24 cm (d) 12 cm
  40. 40.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 60 sq cm (c) 50 sq cm (d) 30 sq cm

Answer key

  1. 196 sq cm
  2. 30 cm
  3. 5 cm
  4. 95 sq cm
  5. 22 cm
  6. 42 sq cm
  7. 30 cm
  8. 72 sq cm
  9. 25 sq cm
  10. 4 cm
  11. 22 sq cm
  12. 9 cm
  13. 169 sq cm
  14. 16 cm
  15. 28 sq cm
  16. 48 cm
  17. 52 cm
  18. 130 sq cm
  19. 50 cm
  20. 36 sq cm
  21. 121 sq cm
  22. 56 cm
  23. 8 cm
  24. 8 cm
  25. 6 cm
  26. 85 sq cm
  27. 60 sq cm
  28. 36 sq cm
  29. 56 sq cm
  30. 144 sq cm
  31. 60 sq cm
  32. 21 sq cm
  33. 54 sq cm
  34. 64 sq cm
  35. 2 cm
  36. 100 sq cm
  37. 10 cm
  38. 66 sq cm
  39. 12 cm
  40. 50 sq cm

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