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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 707 · 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 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 64 sq cm (d) 48 sq 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 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 26 sq cm (c) 13 sq cm (d) 22 sq cm
  4. 4.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 56 cm (b) 32 cm (c) 36 cm (d) 18 cm
  5. 5.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 50 cm (c) 25 cm (d) 45 cm
  6. 6.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 42 cm (c) 108 cm (d) 48 cm
  7. 7.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 28 cm (d) 22 cm
  8. 8.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 25 sq cm (b) 165 sq cm (c) 50 sq cm (d) 150 sq cm
  9. 9.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 3 cm (c) 34 cm (d) 4 cm
  10. 10.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 136 sq cm (c) 25 sq cm (d) 50 sq cm
  11. 11.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 8 sq cm (d) 16 sq cm
  12. 12.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 22 sq cm (d) 11 sq cm
  13. 13.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 54 cm
  14. 14.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 11 cm (c) 17 cm (d) 22 cm
  15. 15.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
  16. 16.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 22 cm (d) 36 cm
  17. 17.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 38 cm (c) 33 cm (d) 19 cm
  18. 18.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 21 sq cm (c) 10 sq cm (d) 20 sq cm
  19. 19.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
  20. 20.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 143 sq cm (b) 48 sq cm (c) 24 sq cm (d) 156 sq cm
  21. 21.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 31 sq cm (b) 228 sq cm (c) 247 sq cm (d) 62 sq cm
  22. 22.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 24 sq cm (d) 32 sq cm
  23. 23.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 143 cm (b) 48 cm (c) 24 cm (d) 37 cm
  24. 24.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 152 cm (b) 27 cm (c) 46 cm (d) 54 cm
  25. 25.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 10 cm
  26. 26.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 120 sq cm (c) 26 sq cm (d) 140 sq cm
  27. 27.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 48 sq cm (c) 36 sq cm (d) 32 sq cm
  28. 28.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 112 sq cm (c) 21 sq cm (d) 98 sq cm
  29. 29.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 150 sq cm (c) 24 sq cm (d) 135 sq cm
  30. 30.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 9 cm (d) 18 cm
  31. 31.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 88 sq cm (b) 18 sq cm (c) 77 sq cm (d) 36 sq cm
  32. 32.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 34 cm (c) 84 cm (d) 40 cm
  33. 33.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 98 cm (c) 8 cm (d) 16 cm
  34. 34.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 68 cm (b) 5 cm (c) 6 cm (d) 10 cm
  35. 35.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) 5 cm (d) 4 cm
  36. 36.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  37. 37.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 55 cm (c) 32 cm (d) 16 cm
  38. 38.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  39. 39.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 54 cm (c) 180 cm (d) 27 cm
  40. 40.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm

Answer key

  1. 48 sq cm
  2. 49 sq cm
  3. 22 sq cm
  4. 36 cm
  5. 50 cm
  6. 48 cm
  7. 22 cm
  8. 150 sq cm
  9. 3 cm
  10. 136 sq cm
  11. 12 sq cm
  12. 30 sq cm
  13. 7 cm
  14. 22 cm
  15. 81 sq cm
  16. 26 cm
  17. 38 cm
  18. 21 sq cm
  19. 225 sq cm
  20. 143 sq cm
  21. 228 sq cm
  22. 24 sq cm
  23. 48 cm
  24. 54 cm
  25. 2 cm
  26. 120 sq cm
  27. 32 sq cm
  28. 98 sq cm
  29. 135 sq cm
  30. 18 cm
  31. 77 sq cm
  32. 40 cm
  33. 8 cm
  34. 5 cm
  35. 4 cm
  36. 196 sq cm
  37. 32 cm
  38. 64 sq cm
  39. 54 cm
  40. 36 sq cm

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