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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 298 · 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 15 cm long and 12 cm wide. What is its perimeter? (a) 180 cm (b) 54 cm (c) 27 cm (d) 42 cm
  2. 2.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 126 sq cm (c) 144 sq cm (d) 25 sq cm
  3. 3.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 11 cm (c) 22 cm (d) 12 cm
  4. 4.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 96 cm (b) 44 cm (c) 22 cm (d) 38 cm
  5. 5.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 36 sq cm (c) 26 sq cm (d) 45 sq cm
  6. 6.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 15 cm (c) 27 cm (d) 30 cm
  7. 7.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  8. 8.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 26 cm (c) 52 cm (d) 160 cm
  9. 9.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 24 sq cm (d) 32 sq cm
  10. 10.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 182 sq cm (d) 168 sq cm
  11. 11.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 16 sq cm (d) 32 sq cm
  12. 12.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 13 sq cm (c) 49 sq cm (d) 26 sq cm
  13. 13.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 90 cm (b) 21 cm (c) 36 cm (d) 42 cm
  14. 14.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
  15. 15.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 80 cm (b) 7 cm (c) 12 cm (d) 6 cm
  16. 16.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
  17. 17.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 70 sq cm (c) 32 sq cm (d) 60 sq cm
  18. 18.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 57 sq cm (c) 21 sq cm (d) 42 sq cm
  19. 19.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 28 cm (d) 80 cm
  20. 20.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 16 sq cm
  21. 21.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 45 sq cm (c) 54 sq cm (d) 28 sq cm
  22. 22.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  23. 23.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 221 sq cm (c) 29 sq cm (d) 204 sq cm
  24. 24.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 32 cm (d) 96 cm
  25. 25.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
  26. 26.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 160 sq cm (c) 144 sq cm (d) 25 sq cm
  27. 27.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 102 cm (c) 23 cm (d) 46 cm
  28. 28.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 38 cm (d) 68 cm
  29. 29.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
  30. 30.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 160 cm (c) 12 cm (d) 22 cm
  31. 31.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 72 sq cm (b) 36 sq cm (c) 84 sq cm (d) 18 sq cm
  32. 32.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 28 cm (c) 26 cm (d) 15 cm
  33. 33.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 14 cm (c) 8 cm (d) 7 cm
  34. 34.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 12 cm (c) 7 cm (d) 6 cm
  35. 35.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 76 cm (c) 10 cm (d) 6 cm
  36. 36.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 85 cm (c) 12 cm (d) 6 cm
  37. 37.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 51 cm (c) 20 cm (d) 40 cm
  38. 38.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 27 cm
  39. 39.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
  40. 40.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm

Answer key

  1. 54 cm
  2. 126 sq cm
  3. 11 cm
  4. 44 cm
  5. 36 sq cm
  6. 30 cm
  7. 36 sq cm
  8. 52 cm
  9. 24 sq cm
  10. 168 sq cm
  11. 64 sq cm
  12. 42 sq cm
  13. 42 cm
  14. 81 sq cm
  15. 6 cm
  16. 144 sq cm
  17. 60 sq cm
  18. 38 sq cm
  19. 36 cm
  20. 16 sq cm
  21. 45 sq cm
  22. 225 sq cm
  23. 204 sq cm
  24. 40 cm
  25. 25 sq cm
  26. 144 sq cm
  27. 46 cm
  28. 42 cm
  29. 169 sq cm
  30. 11 cm
  31. 72 sq cm
  32. 30 cm
  33. 7 cm
  34. 6 cm
  35. 5 cm
  36. 6 cm
  37. 40 cm
  38. 4 cm
  39. 196 sq cm
  40. 49 sq cm

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