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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 284 · 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 has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 54 cm (c) 14 cm (d) 7 cm
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  3. 3.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 228 sq cm (b) 247 sq cm (c) 62 sq cm (d) 31 sq cm
  4. 4.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 24 sq cm (d) 32 sq cm
  5. 5.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 99 cm (c) 20 cm (d) 11 cm
  6. 6.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 18 cm
  7. 7.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  8. 8.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 21 sq cm (d) 14 sq cm
  9. 9.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
  10. 10.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
  11. 11.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 21 cm (c) 20 cm (d) 10 cm
  12. 12.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 19 sq cm (c) 38 sq cm (d) 84 sq cm
  13. 13.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 12 cm (c) 27 cm (d) 24 cm
  14. 14.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 16 cm (d) 8 cm
  15. 15.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 28 cm (c) 48 cm (d) 14 cm
  16. 16.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 34 sq cm (b) 65 sq cm (c) 17 sq cm (d) 52 sq cm
  17. 17.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  18. 18.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 42 cm (c) 21 cm (d) 90 cm
  19. 19.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 165 sq cm (b) 50 sq cm (c) 150 sq cm (d) 25 sq cm
  20. 20.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 60 cm
  21. 21.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 34 cm (c) 52 cm (d) 17 cm
  22. 22.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
  23. 23.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 28 sq cm (c) 14 sq cm (d) 40 sq cm
  24. 24.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 12 cm (c) 165 cm (d) 13 cm
  25. 25.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 136 sq cm (d) 153 sq cm
  26. 26.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 90 cm (c) 38 cm (d) 29 cm
  27. 27.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  28. 28.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 108 cm (c) 11 cm (d) 10 cm
  29. 29.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 31 cm (b) 228 cm (c) 62 cm (d) 50 cm
  30. 30.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 15 sq cm (c) 30 sq cm (d) 55 sq cm
  31. 31.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 57 cm (d) 41 cm
  32. 32.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 132 sq cm (c) 46 sq cm (d) 144 sq cm
  33. 33.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 2 cm (b) 3 cm (c) 8 cm (d) 4 cm
  34. 34.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 23 cm (b) 35 cm (c) 132 cm (d) 46 cm
  35. 35.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 2 cm (c) 4 cm (d) 3 cm
  36. 36.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 120 sq cm (c) 42 sq cm (d) 108 sq cm
  37. 37.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 80 sq cm (d) 70 sq cm
  38. 38.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 126 cm (c) 11 cm (d) 10 cm
  39. 39.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 46 cm (b) 126 cm (c) 37 cm (d) 23 cm
  40. 40.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 31 cm (c) 34 cm (d) 42 cm

Answer key

  1. 7 cm
  2. 49 sq cm
  3. 228 sq cm
  4. 24 sq cm
  5. 10 cm
  6. 20 cm
  7. 36 sq cm
  8. 14 sq cm
  9. 81 sq cm
  10. 64 sq cm
  11. 20 cm
  12. 84 sq cm
  13. 24 cm
  14. 16 cm
  15. 28 cm
  16. 52 sq cm
  17. 25 sq cm
  18. 42 cm
  19. 150 sq cm
  20. 4 cm
  21. 34 cm
  22. 21 sq cm
  23. 40 sq cm
  24. 12 cm
  25. 136 sq cm
  26. 38 cm
  27. 100 sq cm
  28. 10 cm
  29. 62 cm
  30. 44 sq cm
  31. 44 cm
  32. 132 sq cm
  33. 2 cm
  34. 46 cm
  35. 2 cm
  36. 108 sq cm
  37. 70 sq cm
  38. 10 cm
  39. 46 cm
  40. 34 cm

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