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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 837 · 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 10 cm long and 9 cm wide. What is its perimeter? (a) 38 cm (b) 29 cm (c) 90 cm (d) 19 cm
  2. 2.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 153 cm
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 14 sq cm (d) 64 sq cm
  4. 4.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 60 sq cm (c) 18 sq cm (d) 45 sq cm
  5. 5.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 19 sq cm (c) 18 sq cm (d) 24 sq cm
  6. 6.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 91 sq cm (c) 78 sq cm (d) 19 sq cm
  7. 7.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 76 sq cm (c) 22 sq cm (d) 57 sq cm
  8. 8.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 136 cm (d) 42 cm
  9. 9.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 198 cm (c) 24 cm (d) 12 cm
  10. 10.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 32 cm (c) 26 cm (d) 16 cm
  11. 11.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 24 cm (c) 28 cm (d) 14 cm
  12. 12.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 102 cm
  13. 13.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 12 cm (c) 11 cm (d) 22 cm
  14. 14.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 16 sq cm
  15. 15.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 90 cm (b) 41 cm (c) 46 cm (d) 23 cm
  16. 16.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
  17. 17.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  18. 18.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 56 sq cm (d) 70 sq cm
  19. 19.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 95 sq cm (b) 114 sq cm (c) 48 sq cm (d) 24 sq cm
  20. 20.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 26 sq cm (c) 39 sq cm (d) 15 sq cm
  21. 21.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 42 cm (c) 26 cm (d) 20 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 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 35 cm
  24. 24.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 128 sq cm (d) 112 sq cm
  25. 25.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 78 cm (c) 7 cm (d) 14 cm
  26. 26.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 36 cm (c) 5 cm (d) 10 cm
  27. 27.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 22 cm (c) 30 cm (d) 11 cm
  28. 28.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 26 cm (c) 17 cm (d) 72 cm
  29. 29.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
  30. 30.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 216 sq cm (c) 198 sq cm (d) 29 sq cm
  31. 31.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 108 sq cm (b) 42 sq cm (c) 120 sq cm (d) 21 sq cm
  32. 32.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 21 sq cm (d) 14 sq cm
  33. 33.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 90 cm (b) 7 cm (c) 6 cm (d) 12 cm
  34. 34.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  35. 35.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 52 cm (b) 6 cm (c) 5 cm (d) 10 cm
  36. 36.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 23 cm (b) 132 cm (c) 35 cm (d) 46 cm
  37. 37.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 4 cm (c) 2 cm (d) 3 cm
  38. 38.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
  39. 39.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 24 cm (d) 12 cm
  40. 40.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

Answer key

  1. 38 cm
  2. 10 cm
  3. 49 sq cm
  4. 45 sq cm
  5. 18 sq cm
  6. 78 sq cm
  7. 57 sq cm
  8. 50 cm
  9. 12 cm
  10. 32 cm
  11. 28 cm
  12. 7 cm
  13. 11 cm
  14. 16 sq cm
  15. 46 cm
  16. 169 sq cm
  17. 225 sq cm
  18. 56 sq cm
  19. 95 sq cm
  20. 26 sq cm
  21. 26 cm
  22. 56 cm
  23. 6 cm
  24. 112 sq cm
  25. 7 cm
  26. 5 cm
  27. 22 cm
  28. 34 cm
  29. 25 sq cm
  30. 198 sq cm
  31. 108 sq cm
  32. 14 sq cm
  33. 6 cm
  34. 81 sq cm
  35. 5 cm
  36. 46 cm
  37. 2 cm
  38. 100 sq cm
  39. 24 cm
  40. 24 cm

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