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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 367 · 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 11 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 28 sq cm (c) 33 sq cm (d) 14 sq cm
  2. 2.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 78 sq cm (b) 38 sq cm (c) 91 sq cm (d) 19 sq cm
  3. 3.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
  4. 4.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
  5. 5.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 7 cm (c) 60 cm (d) 12 cm
  6. 6.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 34 sq cm (c) 17 sq cm (d) 81 sq cm
  7. 7.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 28 sq cm (c) 56 sq cm (d) 171 sq cm
  8. 8.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 22 sq cm (b) 130 sq cm (c) 117 sq cm (d) 44 sq cm
  9. 9.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 50 sq cm (b) 156 sq cm (c) 25 sq cm (d) 169 sq cm
  10. 10.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 21 cm
  11. 11.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
  12. 12.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  13. 13.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 77 cm (b) 36 cm (c) 29 cm (d) 18 cm
  14. 14.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  15. 15.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 12 cm (c) 45 cm (d) 7 cm
  16. 16.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 37 cm (c) 51 cm (d) 40 cm
  17. 17.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 26 sq cm (c) 13 sq cm (d) 33 sq cm
  18. 18.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 112 cm
  19. 19.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 22 sq cm (b) 105 sq cm (c) 44 sq cm (d) 120 sq cm
  20. 20.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 48 sq cm (c) 36 sq cm (d) 15 sq cm
  21. 21.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 70 sq cm (c) 17 sq cm (d) 34 sq cm
  22. 22.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 204 cm (b) 29 cm (c) 58 cm (d) 46 cm
  23. 23.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 28 sq cm (c) 20 sq cm (d) 10 sq cm
  24. 24.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 120 sq cm (c) 52 sq cm (d) 26 sq cm
  25. 25.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
  26. 26.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 24 sq cm (c) 18 sq cm (d) 9 sq cm
  27. 27.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 28 cm (b) 45 cm (c) 14 cm (d) 23 cm
  28. 28.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
  29. 29.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
  30. 30.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 34 cm (d) 36 cm
  31. 31.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 105 sq cm (b) 21 sq cm (c) 90 sq cm (d) 42 sq cm
  32. 32.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 12 sq cm (d) 18 sq cm
  33. 33.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 36 sq cm (c) 45 sq cm (d) 13 sq cm
  34. 34.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 9 cm (c) 16 cm (d) 8 cm
  35. 35.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 23 cm (d) 13 cm
  36. 36.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 40 sq cm (c) 30 sq cm (d) 26 sq cm
  37. 37.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 16 sq cm (c) 28 sq cm (d) 32 sq cm
  38. 38.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 6 cm (c) 3 cm (d) 4 cm
  39. 39.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 48 cm (b) 60 cm (c) 30 cm (d) 216 cm
  40. 40.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 68 cm (c) 42 cm (d) 38 cm

Answer key

  1. 33 sq cm
  2. 78 sq cm
  3. 56 cm
  4. 81 sq cm
  5. 6 cm
  6. 72 sq cm
  7. 171 sq cm
  8. 117 sq cm
  9. 156 sq cm
  10. 4 cm
  11. 64 sq cm
  12. 196 sq cm
  13. 36 cm
  14. 100 sq cm
  15. 6 cm
  16. 40 cm
  17. 22 sq cm
  18. 8 cm
  19. 105 sq cm
  20. 36 sq cm
  21. 70 sq cm
  22. 58 cm
  23. 21 sq cm
  24. 120 sq cm
  25. 225 sq cm
  26. 18 sq cm
  27. 28 cm
  28. 25 sq cm
  29. 49 sq cm
  30. 38 cm
  31. 90 sq cm
  32. 12 sq cm
  33. 36 sq cm
  34. 8 cm
  35. 26 cm
  36. 30 sq cm
  37. 28 sq cm
  38. 2 cm
  39. 60 cm
  40. 42 cm

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