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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 693 · 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 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
  2. 2.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 72 sq cm (c) 22 sq cm (d) 90 sq cm
  3. 3.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  4. 4.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
  5. 5.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 36 cm (c) 19 cm (d) 34 cm
  6. 6.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 84 cm (c) 7 cm (d) 14 cm
  7. 7.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 108 sq cm (d) 96 sq cm
  8. 8.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 21 sq cm (c) 42 sq cm (d) 96 sq cm
  9. 9.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 80 sq cm (c) 34 sq cm (d) 17 sq cm
  10. 10.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 10 cm (d) 20 cm
  11. 11.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) 8 cm (d) 16 cm
  12. 12.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 14 cm (c) 33 cm (d) 28 cm
  13. 13.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 135 sq cm (b) 24 sq cm (c) 150 sq cm (d) 48 sq cm
  14. 14.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 12 cm (c) 2 cm (d) 4 cm
  15. 15.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 35 cm (b) 132 cm (c) 46 cm (d) 23 cm
  16. 16.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 198 sq cm (b) 58 sq cm (c) 216 sq cm (d) 29 sq cm
  17. 17.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 41 cm (b) 90 cm (c) 46 cm (d) 23 cm
  18. 18.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
  19. 19.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
  20. 20.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 42 cm (c) 8 cm (d) 5 cm
  21. 21.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 6 cm (c) 38 cm (d) 3 cm
  22. 22.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  23. 23.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 22 cm (b) 12 cm (c) 200 cm (d) 11 cm
  24. 24.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 135 sq cm (c) 46 sq cm (d) 120 sq cm
  25. 25.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 28 cm (c) 14 cm (d) 45 cm
  26. 26.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 35 sq cm (d) 12 sq cm
  27. 27.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 102 cm (c) 46 cm (d) 23 cm
  28. 28.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 44 sq cm (b) 102 sq cm (c) 85 sq cm (d) 22 sq cm
  29. 29.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 40 sq cm (d) 12 sq cm
  30. 30.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 126 cm
  31. 31.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 21 sq cm (c) 108 sq cm (d) 42 sq cm
  32. 32.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 64 cm (b) 5 cm (c) 6 cm (d) 10 cm
  33. 33.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 34 cm (c) 17 cm (d) 32 cm
  34. 34.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 190 sq cm (d) 171 sq cm
  35. 35.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 90 sq cm (c) 105 sq cm (d) 21 sq cm
  36. 36.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 95 cm (c) 6 cm (d) 12 cm
  37. 37.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 22 cm (d) 28 cm
  38. 38.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 10 cm (c) 16 cm (d) 20 cm
  39. 39.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  40. 40.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

Answer key

  1. 81 sq cm
  2. 72 sq cm
  3. 225 sq cm
  4. 100 sq cm
  5. 38 cm
  6. 7 cm
  7. 96 sq cm
  8. 80 sq cm
  9. 70 sq cm
  10. 20 cm
  11. 8 cm
  12. 28 cm
  13. 135 sq cm
  14. 2 cm
  15. 46 cm
  16. 198 sq cm
  17. 46 cm
  18. 49 sq cm
  19. 144 sq cm
  20. 4 cm
  21. 3 cm
  22. 27 sq cm
  23. 11 cm
  24. 120 sq cm
  25. 28 cm
  26. 35 sq cm
  27. 46 cm
  28. 85 sq cm
  29. 32 sq cm
  30. 10 cm
  31. 108 sq cm
  32. 5 cm
  33. 34 cm
  34. 171 sq cm
  35. 90 sq cm
  36. 6 cm
  37. 22 cm
  38. 20 cm
  39. 25 sq cm
  40. 24 cm

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