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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 434 · 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 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  2. 2.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 48 sq cm (d) 169 sq cm
  3. 3.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 36 sq cm (c) 18 sq cm (d) 72 sq cm
  4. 4.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 24 cm (c) 12 cm (d) 20 cm
  5. 5.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 32 sq cm (c) 39 sq cm (d) 16 sq cm
  6. 6.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  7. 7.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
  8. 8.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 32 cm (c) 10 cm (d) 5 cm
  9. 9.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 78 cm
  10. 10.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
  11. 11.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 72 sq cm (d) 54 sq cm
  12. 12.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
  13. 13.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 12 sq cm (c) 30 sq cm (d) 24 sq cm
  14. 14.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 42 sq cm (c) 35 sq cm (d) 24 sq cm
  15. 15.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 9 cm (c) 96 cm (d) 10 cm
  16. 16.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 112 sq cm (c) 44 sq cm (d) 22 sq cm
  17. 17.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 160 cm (b) 52 cm (c) 26 cm (d) 42 cm
  18. 18.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 26 sq cm (d) 48 sq cm
  19. 19.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 15 cm (c) 30 cm (d) 23 cm
  20. 20.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
  21. 21.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 18 cm (d) 20 cm
  22. 22.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 154 cm (c) 12 cm (d) 24 cm
  23. 23.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
  24. 24.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 50 sq cm (c) 60 sq cm (d) 15 sq cm
  25. 25.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 34 cm (c) 30 cm (d) 17 cm
  26. 26.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 10 cm (d) 16 cm
  27. 27.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 132 cm (b) 35 cm (c) 46 cm (d) 23 cm
  28. 28.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 81 sq cm (d) 16 sq cm
  29. 29.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 63 cm
  30. 30.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
  31. 31.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 153 cm (b) 43 cm (c) 52 cm (d) 26 cm
  32. 32.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 108 cm (c) 11 cm (d) 20 cm
  33. 33.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 10 sq cm (c) 28 sq cm (d) 20 sq cm
  34. 34.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 8 cm (c) 4 cm (d) 5 cm
  35. 35.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 51 cm (c) 8 cm (d) 4 cm
  36. 36.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 77 cm (d) 29 cm
  37. 37.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
  38. 38.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 220 sq cm (c) 240 sq cm (d) 62 sq cm
  39. 39.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 76 cm (c) 10 cm (d) 6 cm
  40. 40.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 90 sq cm (c) 38 sq cm (d) 19 sq cm

Answer key

  1. 25 sq cm
  2. 144 sq cm
  3. 72 sq cm
  4. 24 cm
  5. 39 sq cm
  6. 36 sq cm
  7. 196 sq cm
  8. 5 cm
  9. 7 cm
  10. 121 sq cm
  11. 54 sq cm
  12. 49 sq cm
  13. 20 sq cm
  14. 35 sq cm
  15. 9 cm
  16. 96 sq cm
  17. 52 cm
  18. 40 sq cm
  19. 30 cm
  20. 81 sq cm
  21. 20 cm
  22. 12 cm
  23. 30 cm
  24. 50 sq cm
  25. 34 cm
  26. 20 cm
  27. 46 cm
  28. 64 sq cm
  29. 8 cm
  30. 100 sq cm
  31. 52 cm
  32. 10 cm
  33. 21 sq cm
  34. 4 cm
  35. 4 cm
  36. 36 cm
  37. 225 sq cm
  38. 220 sq cm
  39. 5 cm
  40. 90 sq cm

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