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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 621 · 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 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
  2. 2.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 31 cm (c) 84 cm (d) 38 cm
  3. 3.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 90 sq cm (d) 108 sq cm
  4. 4.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 8 cm (c) 7 cm (d) 14 cm
  5. 5.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
  6. 6.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 72 cm (b) 30 cm (c) 18 cm (d) 36 cm
  7. 7.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 40 sq cm (c) 12 sq cm (d) 24 sq cm
  8. 8.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 23 cm (c) 56 cm (d) 15 cm
  9. 9.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 66 sq cm (c) 16 sq cm (d) 32 sq cm
  10. 10.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 3 cm (c) 32 cm (d) 4 cm
  11. 11.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 41 cm (d) 57 cm
  12. 12.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 57 cm
  13. 13.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 10 cm (c) 48 cm (d) 5 cm
  14. 14.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 8 cm (c) 2 cm (d) 4 cm
  15. 15.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 56 sq cm (d) 48 sq cm
  16. 16.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
  17. 17.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 30 sq cm (c) 63 sq cm (d) 15 sq cm
  18. 18.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 44 sq cm (c) 112 sq cm (d) 22 sq cm
  19. 19.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
  20. 20.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 12 sq cm (c) 30 sq cm (d) 24 sq cm
  21. 21.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  22. 22.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 49 sq cm (d) 42 sq cm
  23. 23.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 18 cm (c) 112 cm (d) 9 cm
  24. 24.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 35 cm (d) 12 cm
  25. 25.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 119 cm (c) 48 cm (d) 41 cm
  26. 26.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  27. 27.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 14 cm (b) 90 cm (c) 8 cm (d) 7 cm
  28. 28.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 48 cm (c) 7 cm (d) 14 cm
  29. 29.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 20 sq cm (c) 64 sq cm (d) 40 sq cm
  30. 30.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 78 sq cm (c) 19 sq cm (d) 91 sq cm
  31. 31.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
  32. 32.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 99 cm (b) 40 cm (c) 20 cm (d) 31 cm
  33. 33.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 108 sq cm (c) 96 sq cm (d) 40 sq cm
  34. 34.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
  35. 35.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
  36. 36.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 9 cm (c) 144 cm (d) 10 cm
  37. 37.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 62 cm (b) 31 cm (c) 228 cm (d) 50 cm
  38. 38.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
  39. 39.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 65 cm (c) 36 cm (d) 31 cm
  40. 40.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm

Answer key

  1. 144 sq cm
  2. 38 cm
  3. 90 sq cm
  4. 7 cm
  5. 36 sq cm
  6. 36 cm
  7. 32 sq cm
  8. 30 cm
  9. 55 sq cm
  10. 3 cm
  11. 44 cm
  12. 4 cm
  13. 5 cm
  14. 2 cm
  15. 48 sq cm
  16. 100 sq cm
  17. 54 sq cm
  18. 112 sq cm
  19. 81 sq cm
  20. 20 sq cm
  21. 169 sq cm
  22. 42 sq cm
  23. 9 cm
  24. 24 cm
  25. 48 cm
  26. 25 sq cm
  27. 7 cm
  28. 7 cm
  29. 64 sq cm
  30. 78 sq cm
  31. 49 sq cm
  32. 40 cm
  33. 96 sq cm
  34. 64 sq cm
  35. 225 sq cm
  36. 9 cm
  37. 62 cm
  38. 2 cm
  39. 36 cm
  40. 196 sq cm

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