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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 417 · 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) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
  2. 2.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 36 sq cm (c) 48 sq cm (d) 30 sq cm
  3. 3.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
  4. 4.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 72 sq cm (c) 17 sq cm (d) 34 sq cm
  5. 5.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 42 cm (b) 98 cm (c) 35 cm (d) 21 cm
  6. 6.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 36 sq cm (d) 30 sq cm
  7. 7.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
  8. 8.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 28 cm (c) 30 cm (d) 15 cm
  9. 9.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 108 sq cm (c) 23 sq cm (d) 90 sq cm
  10. 10.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
  11. 11.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 27 sq cm (c) 54 sq cm (d) 176 sq cm
  12. 12.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 20 cm (d) 16 cm
  13. 13.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 36 cm (c) 6 cm (d) 4 cm
  14. 14.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 24 sq cm (c) 19 sq cm (d) 9 sq cm
  15. 15.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 27 cm (c) 21 cm (d) 24 cm
  16. 16.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
  17. 17.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 23 sq cm (c) 132 sq cm (d) 46 sq cm
  18. 18.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 34 sq cm (b) 72 sq cm (c) 17 sq cm (d) 60 sq cm
  19. 19.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 64 sq cm (c) 56 sq cm (d) 15 sq cm
  20. 20.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
  21. 21.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 84 sq cm (c) 38 sq cm (d) 19 sq cm
  22. 22.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  23. 23.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 11 sq cm (c) 22 sq cm (d) 27 sq cm
  24. 24.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 70 sq cm (d) 60 sq cm
  25. 25.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 33 cm (b) 42 cm (c) 108 cm (d) 21 cm
  26. 26.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 28 sq cm (c) 56 sq cm (d) 160 sq cm
  27. 27.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 7 cm (c) 12 cm (d) 6 cm
  28. 28.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 70 sq cm (c) 34 sq cm (d) 17 sq cm
  29. 29.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 120 sq cm (d) 135 sq cm
  30. 30.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 27 cm (d) 70 cm
  31. 31.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 34 cm (c) 3 cm (d) 4 cm
  32. 32.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 12 cm (d) 11 cm
  33. 33.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 11 cm (d) 19 cm
  34. 34.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 12 cm (d) 16 cm
  35. 35.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  36. 36.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 40 cm (d) 38 cm
  37. 37.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm
  38. 38.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 33 cm (b) 4 cm (c) 8 cm (d) 5 cm
  39. 39.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 28 cm (d) 14 cm
  40. 40.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 21 sq cm (c) 42 sq cm (d) 96 sq cm

Answer key

  1. 144 sq cm
  2. 36 sq cm
  3. 121 sq cm
  4. 72 sq cm
  5. 42 cm
  6. 30 sq cm
  7. 49 sq cm
  8. 30 cm
  9. 90 sq cm
  10. 64 sq cm
  11. 176 sq cm
  12. 20 cm
  13. 3 cm
  14. 18 sq cm
  15. 24 cm
  16. 48 cm
  17. 132 sq cm
  18. 60 sq cm
  19. 56 sq cm
  20. 100 sq cm
  21. 84 sq cm
  22. 36 sq cm
  23. 18 sq cm
  24. 60 sq cm
  25. 42 cm
  26. 160 sq cm
  27. 6 cm
  28. 70 sq cm
  29. 120 sq cm
  30. 34 cm
  31. 3 cm
  32. 11 cm
  33. 22 cm
  34. 16 cm
  35. 225 sq cm
  36. 42 cm
  37. 196 sq cm
  38. 4 cm
  39. 28 cm
  40. 80 sq cm

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