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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 581 · 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 12 cm long and 7 cm wide. What is its perimeter? (a) 31 cm (b) 38 cm (c) 19 cm (d) 84 cm
  2. 2.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
  3. 3.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 90 sq cm (c) 108 sq cm (d) 23 sq cm
  4. 4.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 18 sq cm (c) 36 sq cm (d) 48 sq cm
  5. 5.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 30 cm (c) 22 cm (d) 17 cm
  6. 6.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 25 cm (c) 40 cm (d) 50 cm
  7. 7.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  8. 8.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  9. 9.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
  10. 10.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 19 cm (b) 88 cm (c) 38 cm (d) 30 cm
  11. 11.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 11 sq cm (d) 30 sq cm
  12. 12.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 16 cm (c) 4 cm (d) 3 cm
  13. 13.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 19 cm (c) 3 cm (d) 2 cm
  14. 14.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 4 cm (c) 48 cm (d) 8 cm
  15. 15.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
  16. 16.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 76 sq cm (d) 57 sq cm
  17. 17.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 16 cm (c) 14 cm (d) 18 cm
  18. 18.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 45 cm (c) 33 cm (d) 18 cm
  19. 19.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
  20. 20.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 25 cm (c) 32 cm (d) 63 cm
  21. 21.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 14 cm (b) 7 cm (c) 48 cm (d) 8 cm
  22. 22.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 105 sq cm (b) 22 sq cm (c) 44 sq cm (d) 120 sq cm
  23. 23.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 9 cm (c) 119 cm (d) 8 cm
  24. 24.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
  25. 25.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 126 cm (b) 16 cm (c) 8 cm (d) 9 cm
  26. 26.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 16 sq cm (c) 18 sq cm (d) 8 sq cm
  27. 27.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 45 cm (d) 187 cm
  28. 28.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 91 cm (b) 33 cm (c) 40 cm (d) 20 cm
  29. 29.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 27 sq cm (c) 152 sq cm (d) 54 sq cm
  30. 30.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 90 sq cm (c) 100 sq cm (d) 19 sq cm
  31. 31.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 13 cm (d) 22 cm
  32. 32.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 22 cm (b) 112 cm (c) 44 cm (d) 36 cm
  33. 33.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
  34. 34.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 22 sq cm (c) 27 sq cm (d) 11 sq cm
  35. 35.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 58 cm (c) 29 cm (d) 190 cm
  36. 36.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 10 cm (c) 11 cm (d) 20 cm
  37. 37.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  38. 38.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 43 cm (c) 126 cm (d) 50 cm
  39. 39.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 112 sq cm (c) 44 sq cm (d) 22 sq cm
  40. 40.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 13 sq cm (c) 36 sq cm (d) 26 sq cm

Answer key

  1. 38 cm
  2. 100 sq cm
  3. 90 sq cm
  4. 32 sq cm
  5. 22 cm
  6. 50 cm
  7. 144 sq cm
  8. 64 sq cm
  9. 49 sq cm
  10. 38 cm
  11. 30 sq cm
  12. 3 cm
  13. 2 cm
  14. 4 cm
  15. 169 sq cm
  16. 57 sq cm
  17. 18 cm
  18. 36 cm
  19. 2 cm
  20. 32 cm
  21. 7 cm
  22. 105 sq cm
  23. 8 cm
  24. 121 sq cm
  25. 8 cm
  26. 12 sq cm
  27. 56 cm
  28. 40 cm
  29. 152 sq cm
  30. 90 sq cm
  31. 26 cm
  32. 44 cm
  33. 7 cm
  34. 18 sq cm
  35. 58 cm
  36. 10 cm
  37. 36 sq cm
  38. 50 cm
  39. 112 sq cm
  40. 36 sq cm

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