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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 646 · 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 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
  2. 2.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 14 cm (c) 28 cm (d) 33 cm
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  4. 4.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 28 sq cm (d) 21 sq cm
  5. 5.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
  6. 6.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 180 cm (c) 54 cm (d) 27 cm
  7. 7.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 64 sq cm (c) 38 sq cm (d) 19 sq cm
  8. 8.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 60 sq cm (c) 48 sq cm (d) 32 sq cm
  9. 9.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 40 cm (c) 20 cm (d) 51 cm
  10. 10.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 10 cm (c) 135 cm (d) 20 cm
  11. 11.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 28 cm (d) 22 cm
  12. 12.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 14 cm (d) 12 cm
  13. 13.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 21 sq cm (c) 14 sq cm (d) 9 sq cm
  14. 14.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 14 cm (c) 8 cm (d) 7 cm
  15. 15.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 19 sq cm (c) 75 sq cm (d) 38 sq cm
  16. 16.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 30 sq cm (c) 24 sq cm (d) 20 sq cm
  17. 17.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 11 sq cm (c) 18 sq cm (d) 22 sq cm
  18. 18.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
  19. 19.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 70 sq cm (c) 60 sq cm (d) 16 sq cm
  20. 20.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 144 sq cm (d) 160 sq cm
  21. 21.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 18 cm (c) 136 cm (d) 9 cm
  22. 22.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 24 cm (d) 22 cm
  23. 23.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 24 cm (c) 13 cm (d) 12 cm
  24. 24.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 58 cm (b) 29 cm (c) 47 cm (d) 198 cm
  25. 25.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 10 cm (c) 18 cm (d) 9 cm
  26. 26.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 32 sq cm (d) 40 sq cm
  27. 27.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 8 cm (c) 18 cm (d) 4 cm
  28. 28.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 72 cm (d) 26 cm
  29. 29.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  30. 30.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 100 cm (c) 7 cm (d) 6 cm
  31. 31.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
  32. 32.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 54 sq cm (c) 30 sq cm (d) 15 sq cm
  33. 33.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 56 cm (d) 160 cm
  34. 34.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 135 sq cm (b) 48 sq cm (c) 150 sq cm (d) 24 sq cm
  35. 35.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 15 cm (c) 4 cm (d) 8 cm
  36. 36.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 46 cm (b) 90 cm (c) 23 cm (d) 41 cm
  37. 37.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 150 sq cm (d) 165 sq cm
  38. 38.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 55 cm (c) 16 cm (d) 32 cm
  39. 39.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 30 cm (c) 88 cm (d) 19 cm
  40. 40.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 11 cm (c) 19 cm (d) 22 cm

Answer key

  1. 36 sq cm
  2. 28 cm
  3. 49 sq cm
  4. 21 sq cm
  5. 225 sq cm
  6. 54 cm
  7. 48 sq cm
  8. 48 sq cm
  9. 40 cm
  10. 10 cm
  11. 22 cm
  12. 16 cm
  13. 14 sq cm
  14. 7 cm
  15. 60 sq cm
  16. 24 sq cm
  17. 18 sq cm
  18. 100 sq cm
  19. 60 sq cm
  20. 144 sq cm
  21. 9 cm
  22. 26 cm
  23. 12 cm
  24. 58 cm
  25. 9 cm
  26. 32 sq cm
  27. 4 cm
  28. 34 cm
  29. 81 sq cm
  30. 6 cm
  31. 121 sq cm
  32. 54 sq cm
  33. 56 cm
  34. 135 sq cm
  35. 4 cm
  36. 46 cm
  37. 150 sq cm
  38. 32 cm
  39. 38 cm
  40. 22 cm

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