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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 84 · 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 11 cm long and 3 cm wide. What is its perimeter? (a) 14 cm (b) 25 cm (c) 33 cm (d) 28 cm
  2. 2.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 41 cm (c) 90 cm (d) 46 cm
  3. 3.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 10 cm (c) 9 cm (d) 18 cm
  4. 4.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 51 cm (b) 31 cm (c) 220 cm (d) 62 cm
  5. 5.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 22 cm (c) 130 cm (d) 12 cm
  6. 6.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 126 cm (c) 9 cm (d) 8 cm
  7. 7.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 54 sq cm (d) 63 sq cm
  8. 8.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 48 sq cm (c) 40 sq cm (d) 13 sq cm
  9. 9.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
  10. 10.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 13 cm
  11. 11.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 23 sq cm (c) 46 sq cm (d) 80 sq cm
  12. 12.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
  13. 13.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 198 cm
  14. 14.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 126 sq cm (b) 48 sq cm (c) 24 sq cm (d) 108 sq cm
  15. 15.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  16. 16.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 16 cm (d) 14 cm
  17. 17.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 12 cm (d) 24 cm
  18. 18.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 46 sq cm (c) 23 sq cm (d) 128 sq cm
  19. 19.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 54 cm (b) 14 cm (c) 8 cm (d) 7 cm
  20. 20.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
  21. 21.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 51 sq cm (c) 19 sq cm (d) 38 sq cm
  22. 22.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 10 sq cm (d) 25 sq cm
  23. 23.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
  24. 24.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 4 cm (c) 30 cm (d) 8 cm
  25. 25.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 112 cm (d) 39 cm
  26. 26.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 66 cm (d) 28 cm
  27. 27.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 24 sq cm (d) 32 sq cm
  28. 28.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 136 sq cm (b) 153 sq cm (c) 25 sq cm (d) 50 sq cm
  29. 29.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  30. 30.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 57 sq cm (c) 76 sq cm (d) 44 sq cm
  31. 31.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 12 sq cm (c) 8 sq cm (d) 16 sq cm
  32. 32.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
  33. 33.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 64 sq cm (c) 15 sq cm (d) 30 sq cm
  34. 34.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 57 cm (d) 41 cm
  35. 35.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 44 cm (c) 170 cm (d) 54 cm
  36. 36.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
  37. 37.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 9 cm (c) 8 cm (d) 16 cm
  38. 38.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 80 cm (c) 36 cm (d) 28 cm
  39. 39.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 68 sq cm (c) 51 sq cm (d) 40 sq cm
  40. 40.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 22 cm (b) 12 cm (c) 200 cm (d) 11 cm

Answer key

  1. 28 cm
  2. 46 cm
  3. 9 cm
  4. 62 cm
  5. 11 cm
  6. 8 cm
  7. 54 sq cm
  8. 40 sq cm
  9. 169 sq cm
  10. 2 cm
  11. 60 sq cm
  12. 64 sq cm
  13. 12 cm
  14. 108 sq cm
  15. 49 sq cm
  16. 16 cm
  17. 24 cm
  18. 112 sq cm
  19. 7 cm
  20. 100 sq cm
  21. 34 sq cm
  22. 25 sq cm
  23. 14 sq cm
  24. 4 cm
  25. 46 cm
  26. 34 cm
  27. 24 sq cm
  28. 136 sq cm
  29. 196 sq cm
  30. 57 sq cm
  31. 12 sq cm
  32. 121 sq cm
  33. 56 sq cm
  34. 44 cm
  35. 54 cm
  36. 225 sq cm
  37. 8 cm
  38. 36 cm
  39. 51 sq cm
  40. 11 cm

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