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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 446 · 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 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  2. 2.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 9 sq cm (d) 24 sq cm
  3. 3.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
  4. 4.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 192 cm (b) 44 cm (c) 56 cm (d) 28 cm
  5. 5.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 48 sq cm (c) 38 sq cm (d) 64 sq cm
  6. 6.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 170 cm (c) 12 cm (d) 22 cm
  7. 7.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 40 cm (c) 21 cm (d) 26 cm
  8. 8.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 28 cm (c) 26 cm (d) 15 cm
  9. 9.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 168 sq cm (b) 52 sq cm (c) 26 sq cm (d) 182 sq cm
  10. 10.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 28 sq cm (c) 24 sq cm (d) 14 sq cm
  11. 11.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 17 cm (b) 4 cm (c) 3 cm (d) 2 cm
  12. 12.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
  13. 13.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 19 cm
  14. 14.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 84 cm (b) 40 cm (c) 20 cm (d) 34 cm
  15. 15.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 72 sq cm (b) 42 sq cm (c) 21 sq cm (d) 54 sq cm
  16. 16.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  17. 17.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 39 cm (c) 54 cm (d) 42 cm
  18. 18.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 112 sq cm (c) 23 sq cm (d) 128 sq cm
  19. 19.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 23 sq cm (c) 46 sq cm (d) 108 sq cm
  20. 20.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 8 cm (c) 77 cm (d) 9 cm
  21. 21.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 52 cm (c) 45 cm (d) 26 cm
  22. 22.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
  23. 23.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 45 cm (c) 33 cm (d) 36 cm
  24. 24.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 63 cm (c) 16 cm (d) 8 cm
  25. 25.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 14 cm (c) 8 cm (d) 7 cm
  26. 26.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  27. 27.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
  28. 28.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 152 cm (c) 46 cm (d) 54 cm
  29. 29.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 38 sq cm (c) 19 sq cm (d) 84 sq cm
  30. 30.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 56 sq cm (d) 64 sq cm
  31. 31.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 38 sq cm (c) 21 sq cm (d) 42 sq cm
  32. 32.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 32 cm (c) 16 cm (d) 27 cm
  33. 33.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 70 cm (d) 33 cm
  34. 34.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 11 cm (c) 99 cm (d) 20 cm
  35. 35.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 41 cm (d) 144 cm
  36. 36.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 169 sq cm (d) 48 sq cm
  37. 37.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 29 cm (c) 38 cm (d) 90 cm
  38. 38.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 66 cm (c) 34 cm (d) 28 cm
  39. 39.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 14 cm (c) 114 cm (d) 8 cm
  40. 40.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 60 sq cm (d) 30 sq cm

Answer key

  1. 196 sq cm
  2. 18 sq cm
  3. 81 sq cm
  4. 56 cm
  5. 48 sq cm
  6. 11 cm
  7. 26 cm
  8. 30 cm
  9. 168 sq cm
  10. 24 sq cm
  11. 2 cm
  12. 169 sq cm
  13. 2 cm
  14. 40 cm
  15. 54 sq cm
  16. 64 sq cm
  17. 42 cm
  18. 112 sq cm
  19. 90 sq cm
  20. 8 cm
  21. 52 cm
  22. 49 sq cm
  23. 36 cm
  24. 8 cm
  25. 7 cm
  26. 36 sq cm
  27. 25 sq cm
  28. 54 cm
  29. 84 sq cm
  30. 56 sq cm
  31. 38 sq cm
  32. 32 cm
  33. 38 cm
  34. 10 cm
  35. 50 cm
  36. 144 sq cm
  37. 38 cm
  38. 34 cm
  39. 7 cm
  40. 225 sq cm

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