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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 91 · 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 7 cm wide. What is its perimeter? (a) 43 cm (b) 126 cm (c) 25 cm (d) 50 cm
  2. 2.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 24 sq cm (d) 32 sq cm
  3. 3.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 64 cm (b) 240 cm (c) 32 cm (d) 52 cm
  4. 4.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 23 sq cm (c) 46 sq cm (d) 126 sq cm
  5. 5.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 40 cm (c) 24 cm (d) 28 cm
  6. 6.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 30 sq cm (c) 36 sq cm (d) 15 sq cm
  7. 7.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 20 cm (d) 21 cm
  8. 8.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 81 sq cm (d) 32 sq cm
  9. 9.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  10. 10.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 49 sq cm (c) 26 sq cm (d) 42 sq cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
  12. 12.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
  13. 13.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 36 sq cm (c) 72 sq cm (d) 18 sq cm
  14. 14.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  15. 15.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  16. 16.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 38 cm (c) 23 cm (d) 120 cm
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
  18. 18.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 135 cm
  19. 19.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 7 cm (c) 12 cm (d) 6 cm
  20. 20.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 100 sq cm (b) 80 sq cm (c) 24 sq cm (d) 48 sq cm
  21. 21.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 30 cm (d) 15 cm
  22. 22.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 180 sq cm (b) 28 sq cm (c) 198 sq cm (d) 56 sq cm
  23. 23.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 27 sq cm (c) 54 sq cm (d) 162 sq cm
  24. 24.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 99 sq cm (d) 110 sq cm
  25. 25.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 22 cm (c) 150 cm (d) 11 cm
  26. 26.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 96 sq cm (c) 108 sq cm (d) 40 sq cm
  27. 27.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
  28. 28.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
  29. 29.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 60 sq cm (d) 50 sq cm
  30. 30.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 28 sq cm (c) 171 sq cm (d) 56 sq cm
  31. 31.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 23 sq cm (c) 90 sq cm (d) 46 sq cm
  32. 32.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 5 cm (c) 45 cm (d) 8 cm
  33. 33.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 95 sq cm (d) 114 sq cm
  34. 34.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 12 cm (c) 50 cm (d) 6 cm
  35. 35.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 10 cm (b) 6 cm (c) 36 cm (d) 5 cm
  36. 36.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 2 cm (b) 4 cm (c) 8 cm (d) 3 cm
  37. 37.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 54 cm (b) 162 cm (c) 27 cm (d) 45 cm
  38. 38.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  39. 39.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 22 cm (c) 12 cm (d) 11 cm
  40. 40.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 220 cm (b) 31 cm (c) 62 cm (d) 51 cm

Answer key

  1. 50 cm
  2. 24 sq cm
  3. 64 cm
  4. 126 sq cm
  5. 28 cm
  6. 36 sq cm
  7. 20 cm
  8. 64 sq cm
  9. 36 sq cm
  10. 42 sq cm
  11. 100 sq cm
  12. 121 sq cm
  13. 72 sq cm
  14. 169 sq cm
  15. 225 sq cm
  16. 46 cm
  17. 81 sq cm
  18. 10 cm
  19. 6 cm
  20. 80 sq cm
  21. 30 cm
  22. 180 sq cm
  23. 162 sq cm
  24. 99 sq cm
  25. 11 cm
  26. 96 sq cm
  27. 18 sq cm
  28. 196 sq cm
  29. 50 sq cm
  30. 171 sq cm
  31. 90 sq cm
  32. 4 cm
  33. 95 sq cm
  34. 6 cm
  35. 5 cm
  36. 2 cm
  37. 54 cm
  38. 25 sq cm
  39. 11 cm
  40. 62 cm

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