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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 90 · 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 18 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 108 cm (d) 42 cm
  2. 2.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 43 cm (b) 153 cm (c) 52 cm (d) 26 cm
  3. 3.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  4. 4.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 144 cm (c) 18 cm (d) 9 cm
  5. 5.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 12 sq cm (d) 20 sq cm
  6. 6.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 41 cm (d) 90 cm
  7. 7.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 63 sq cm (c) 16 sq cm (d) 72 sq cm
  8. 8.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 200 cm (b) 60 cm (c) 50 cm (d) 30 cm
  9. 9.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  10. 10.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
  11. 11.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 132 sq cm (c) 44 sq cm (d) 120 sq cm
  12. 12.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 90 sq cm (c) 75 sq cm (d) 40 sq cm
  13. 13.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 3 cm (c) 32 cm (d) 4 cm
  14. 14.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  15. 15.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 182 sq cm (d) 168 sq cm
  16. 16.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  17. 17.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 162 sq cm (d) 144 sq cm
  18. 18.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 27 sq cm (c) 54 sq cm (d) 152 sq cm
  19. 19.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 13 cm (c) 12 cm (d) 24 cm
  20. 20.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
  21. 21.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 40 cm (c) 50 cm (d) 25 cm
  22. 22.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
  23. 23.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 9 cm (c) 10 cm (d) 18 cm
  24. 24.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 27 sq cm
  25. 25.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 58 cm (b) 49 cm (c) 29 cm (d) 180 cm
  26. 26.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 18 cm (c) 136 cm (d) 9 cm
  27. 27.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
  28. 28.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  29. 29.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 77 sq cm (c) 88 sq cm (d) 18 sq cm
  30. 30.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 31 cm (c) 34 cm (d) 42 cm
  31. 31.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 57 cm (c) 8 cm (d) 4 cm
  32. 32.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 12 cm (c) 170 cm (d) 22 cm
  33. 33.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 24 cm (d) 11 cm
  34. 34.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 17 sq cm (c) 45 sq cm (d) 34 sq cm
  35. 35.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 16 cm (d) 10 cm
  36. 36.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 18 cm (c) 19 cm (d) 9 cm
  37. 37.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 100 sq cm (c) 90 sq cm (d) 38 sq cm
  38. 38.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 16 cm (d) 14 cm
  39. 39.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 29 cm (d) 90 cm
  40. 40.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 36 cm (c) 23 cm (d) 46 cm

Answer key

  1. 48 cm
  2. 52 cm
  3. 144 sq cm
  4. 9 cm
  5. 20 sq cm
  6. 46 cm
  7. 63 sq cm
  8. 60 cm
  9. 121 sq cm
  10. 49 sq cm
  11. 120 sq cm
  12. 75 sq cm
  13. 3 cm
  14. 225 sq cm
  15. 168 sq cm
  16. 64 sq cm
  17. 144 sq cm
  18. 152 sq cm
  19. 12 cm
  20. 36 sq cm
  21. 50 cm
  22. 196 sq cm
  23. 9 cm
  24. 27 sq cm
  25. 58 cm
  26. 9 cm
  27. 81 sq cm
  28. 25 sq cm
  29. 77 sq cm
  30. 34 cm
  31. 4 cm
  32. 11 cm
  33. 22 cm
  34. 30 sq cm
  35. 20 cm
  36. 18 cm
  37. 90 sq cm
  38. 16 cm
  39. 38 cm
  40. 46 cm

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