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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 738 · 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 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
  2. 2.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 16 sq cm (d) 60 sq cm
  3. 3.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  4. 4.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
  5. 5.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 36 sq cm (c) 14 sq cm (d) 24 sq cm
  6. 6.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 110 cm (c) 32 cm (d) 21 cm
  7. 7.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 12 cm (c) 6 cm (d) 7 cm
  8. 8.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
  9. 9.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 42 cm (c) 13 cm (d) 20 cm
  10. 10.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 24 cm (b) 39 cm (c) 135 cm (d) 48 cm
  11. 11.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 108 sq cm (d) 120 sq cm
  12. 12.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 29 cm (b) 47 cm (c) 198 cm (d) 58 cm
  13. 13.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 78 cm (b) 19 cm (c) 32 cm (d) 38 cm
  14. 14.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 18 sq cm (c) 14 sq cm (d) 9 sq cm
  15. 15.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
  16. 16.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 5 cm (c) 8 cm (d) 4 cm
  17. 17.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 58 cm (b) 204 cm (c) 29 cm (d) 46 cm
  18. 18.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 77 sq cm (d) 66 sq cm
  19. 19.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 14 sq cm (c) 50 sq cm (d) 28 sq cm
  20. 20.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 117 sq cm (c) 21 sq cm (d) 104 sq cm
  21. 21.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 24 sq cm (d) 10 sq cm
  22. 22.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 4 cm (c) 24 cm (d) 6 cm
  23. 23.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 162 cm (b) 27 cm (c) 54 cm (d) 45 cm
  24. 24.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 10 cm (d) 16 cm
  25. 25.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 220 cm (c) 24 cm (d) 12 cm
  26. 26.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 14 cm (b) 25 cm (c) 28 cm (d) 33 cm
  27. 27.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 9 cm (c) 10 cm (d) 18 cm
  28. 28.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 8 cm (c) 7 cm (d) 14 cm
  29. 29.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 154 sq cm (d) 140 sq cm
  30. 30.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 16 sq cm (d) 18 sq cm
  31. 31.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 20 cm (c) 10 cm (d) 21 cm
  32. 32.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 54 cm
  33. 33.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 3 cm (c) 1 cm (d) 2 cm
  34. 34.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 28 cm (c) 45 cm (d) 14 cm
  35. 35.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 88 cm (c) 10 cm (d) 18 cm
  36. 36.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 38 cm (d) 42 cm
  37. 37.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 182 sq cm (b) 168 sq cm (c) 26 sq cm (d) 52 sq cm
  38. 38.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 17 cm (c) 34 cm (d) 42 cm
  39. 39.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 85 cm (d) 39 cm
  40. 40.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

Answer key

  1. 49 sq cm
  2. 48 sq cm
  3. 196 sq cm
  4. 81 sq cm
  5. 24 sq cm
  6. 42 cm
  7. 6 cm
  8. 64 sq cm
  9. 26 cm
  10. 48 cm
  11. 108 sq cm
  12. 58 cm
  13. 38 cm
  14. 14 sq cm
  15. 225 sq cm
  16. 4 cm
  17. 58 cm
  18. 66 sq cm
  19. 40 sq cm
  20. 104 sq cm
  21. 24 sq cm
  22. 3 cm
  23. 54 cm
  24. 20 cm
  25. 12 cm
  26. 28 cm
  27. 9 cm
  28. 7 cm
  29. 140 sq cm
  30. 12 sq cm
  31. 20 cm
  32. 7 cm
  33. 2 cm
  34. 28 cm
  35. 9 cm
  36. 42 cm
  37. 168 sq cm
  38. 34 cm
  39. 44 cm
  40. 38 cm

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