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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 743 · 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 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
  2. 2.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 46 cm (c) 52 cm (d) 120 cm
  3. 3.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 36 sq cm (d) 45 sq cm
  4. 4.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 14 cm (d) 16 cm
  5. 5.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 8 cm (c) 4 cm (d) 5 cm
  6. 6.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 41 cm (c) 48 cm (d) 119 cm
  7. 7.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 30 sq cm (c) 54 sq cm (d) 15 sq cm
  8. 8.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 23 sq cm (b) 102 sq cm (c) 46 sq cm (d) 119 sq cm
  9. 9.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 24 cm (c) 15 cm (d) 30 cm
  10. 10.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 90 cm (c) 36 cm (d) 42 cm
  11. 11.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  12. 12.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 150 sq cm (c) 135 sq cm (d) 24 sq cm
  13. 13.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 85 cm (b) 6 cm (c) 7 cm (d) 12 cm
  14. 14.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 30 cm (c) 26 cm (d) 15 cm
  15. 15.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 16 cm
  16. 16.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  17. 17.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
  18. 18.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 160 sq cm (c) 180 sq cm (d) 56 sq cm
  19. 19.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 144 sq cm (b) 50 sq cm (c) 25 sq cm (d) 160 sq cm
  20. 20.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 44 cm
  21. 21.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 143 cm (c) 48 cm (d) 37 cm
  22. 22.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 20 sq cm (c) 68 sq cm (d) 40 sq cm
  23. 23.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 5 cm (c) 2 cm (d) 3 cm
  24. 24.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 22 sq cm (c) 11 sq cm (d) 32 sq cm
  25. 25.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 12 cm (c) 13 cm (d) 24 cm
  26. 26.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
  27. 27.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 80 sq cm (d) 64 sq cm
  28. 28.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 40 cm (d) 72 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 has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 13 cm (c) 209 cm (d) 24 cm
  31. 31.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 32 cm (b) 27 cm (c) 16 cm (d) 55 cm
  32. 32.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 10 sq cm (d) 20 sq cm
  33. 33.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 24 sq cm (d) 36 sq cm
  34. 34.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 12 cm (b) 35 cm (c) 6 cm (d) 7 cm
  35. 35.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 10 cm (d) 20 cm
  36. 36.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 76 sq cm (b) 95 sq cm (c) 46 sq cm (d) 23 sq cm
  37. 37.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 10 cm (c) 3 cm (d) 4 cm
  38. 38.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 45 sq cm (d) 60 sq cm
  39. 39.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 26 cm (c) 42 cm (d) 13 cm
  40. 40.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm

Answer key

  1. 225 sq cm
  2. 52 cm
  3. 36 sq cm
  4. 16 cm
  5. 4 cm
  6. 48 cm
  7. 54 sq cm
  8. 102 sq cm
  9. 30 cm
  10. 42 cm
  11. 196 sq cm
  12. 135 sq cm
  13. 6 cm
  14. 30 cm
  15. 2 cm
  16. 100 sq cm
  17. 36 sq cm
  18. 160 sq cm
  19. 144 sq cm
  20. 5 cm
  21. 48 cm
  22. 51 sq cm
  23. 2 cm
  24. 24 sq cm
  25. 12 cm
  26. 25 sq cm
  27. 64 sq cm
  28. 44 cm
  29. 49 sq cm
  30. 12 cm
  31. 32 cm
  32. 24 sq cm
  33. 24 sq cm
  34. 6 cm
  35. 20 cm
  36. 76 sq cm
  37. 3 cm
  38. 45 sq cm
  39. 26 cm
  40. 121 sq cm

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