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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 192 · 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 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
  2. 2.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
  3. 3.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 36 cm (d) 130 cm
  4. 4.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
  5. 5.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 41 cm (b) 23 cm (c) 90 cm (d) 46 cm
  6. 6.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 65 sq cm (b) 36 sq cm (c) 18 sq cm (d) 78 sq cm
  7. 7.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
  8. 8.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 60 cm (c) 19 cm (d) 34 cm
  9. 9.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
  10. 10.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 2 cm (b) 3 cm (c) 7 cm (d) 4 cm
  11. 11.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
  12. 12.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 38 cm (c) 42 cm (d) 68 cm
  13. 13.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
  14. 14.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 132 sq cm (b) 23 sq cm (c) 46 sq cm (d) 144 sq cm
  15. 15.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 38 cm (c) 40 cm (d) 21 cm
  16. 16.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 56 cm (b) 47 cm (c) 28 cm (d) 171 cm
  17. 17.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 2 cm (c) 10 cm (d) 4 cm
  18. 18.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 20 cm (c) 10 cm (d) 11 cm
  19. 19.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 15 cm (c) 30 cm (d) 24 cm
  20. 20.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 52 sq cm (b) 162 sq cm (c) 26 sq cm (d) 144 sq cm
  21. 21.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 26 sq cm (b) 165 sq cm (c) 180 sq cm (d) 52 sq cm
  22. 22.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 27 sq cm (c) 24 sq cm (d) 36 sq cm
  23. 23.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 5 cm (c) 4 cm (d) 8 cm
  24. 24.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 14 cm (c) 90 cm (d) 8 cm
  25. 25.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 44 sq cm (c) 33 sq cm (d) 14 sq cm
  26. 26.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 220 sq cm (b) 240 sq cm (c) 31 sq cm (d) 62 sq cm
  27. 27.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 56 cm (b) 192 cm (c) 44 cm (d) 28 cm
  28. 28.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 90 sq cm (c) 19 sq cm (d) 38 sq cm
  29. 29.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 44 cm (d) 72 cm
  30. 30.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 28 cm (c) 180 cm (d) 56 cm
  31. 31.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 187 cm (c) 13 cm (d) 24 cm
  32. 32.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 256 sq cm (d) 30 sq cm
  33. 33.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 120 sq cm (c) 44 sq cm (d) 132 sq cm
  34. 34.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 22 cm (c) 180 cm (d) 12 cm
  35. 35.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 32 cm (c) 36 cm (d) 56 cm
  36. 36.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 165 cm
  37. 37.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 19 sq cm (c) 24 sq cm (d) 9 sq cm
  38. 38.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 84 sq cm (d) 72 sq cm
  39. 39.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 160 sq cm (d) 140 sq cm
  40. 40.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 64 sq cm (c) 40 sq cm (d) 20 sq cm

Answer key

  1. 30 sq cm
  2. 121 sq cm
  3. 46 cm
  4. 25 sq cm
  5. 46 cm
  6. 65 sq cm
  7. 22 cm
  8. 38 cm
  9. 49 sq cm
  10. 2 cm
  11. 64 sq cm
  12. 42 cm
  13. 169 sq cm
  14. 132 sq cm
  15. 42 cm
  16. 56 cm
  17. 2 cm
  18. 10 cm
  19. 30 cm
  20. 144 sq cm
  21. 165 sq cm
  22. 27 sq cm
  23. 4 cm
  24. 7 cm
  25. 33 sq cm
  26. 220 sq cm
  27. 56 cm
  28. 90 sq cm
  29. 44 cm
  30. 56 cm
  31. 12 cm
  32. 225 sq cm
  33. 120 sq cm
  34. 11 cm
  35. 36 cm
  36. 12 cm
  37. 18 sq cm
  38. 72 sq cm
  39. 140 sq cm
  40. 64 sq cm

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