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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 927 · 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 5 cm wide. What is its perimeter? (a) 17 cm (b) 29 cm (c) 60 cm (d) 34 cm
  2. 2.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 91 cm (c) 16 cm (d) 8 cm
  3. 3.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 84 cm (b) 34 cm (c) 40 cm (d) 20 cm
  4. 4.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 96 cm
  5. 5.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 26 cm (b) 4 cm (c) 3 cm (d) 6 cm
  6. 6.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  7. 7.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 30 sq cm
  8. 8.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 54 cm (c) 24 cm (d) 15 cm
  9. 9.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 11 cm (c) 120 cm (d) 22 cm
  10. 10.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 32 sq cm (d) 63 sq cm
  11. 11.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 180 sq cm (b) 52 sq cm (c) 165 sq cm (d) 26 sq cm
  12. 12.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 112 sq cm (c) 23 sq cm (d) 128 sq cm
  13. 13.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 43 cm (d) 153 cm
  14. 14.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 48 sq cm (d) 14 sq cm
  15. 15.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
  16. 16.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 25 sq cm (c) 114 sq cm (d) 50 sq cm
  17. 17.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
  18. 18.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  19. 19.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
  20. 20.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 48 sq cm (d) 64 sq cm
  21. 21.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 10 cm
  22. 22.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 140 sq cm (c) 126 sq cm (d) 23 sq cm
  23. 23.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 182 sq cm (b) 168 sq cm (c) 26 sq cm (d) 52 sq cm
  24. 24.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 32 cm (d) 24 cm
  25. 25.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 150 cm
  26. 26.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 136 cm (c) 10 cm (d) 18 cm
  27. 27.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 11 sq cm (c) 22 sq cm (d) 24 sq cm
  28. 28.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 16 sq cm (d) 20 sq cm
  29. 29.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 42 sq cm (c) 24 sq cm (d) 35 sq cm
  30. 30.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 16 cm (c) 8 cm (d) 9 cm
  31. 31.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 72 sq cm (d) 60 sq cm
  32. 32.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 42 cm (c) 44 cm (d) 22 cm
  33. 33.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
  34. 34.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
  35. 35.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
  36. 36.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 12 cm (d) 24 cm
  37. 37.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 75 sq cm (c) 90 sq cm (d) 20 sq cm
  38. 38.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 77 cm (c) 9 cm (d) 8 cm
  39. 39.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 54 sq cm (c) 14 sq cm (d) 28 sq cm
  40. 40.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 18 sq cm (c) 65 sq cm (d) 36 sq cm

Answer key

  1. 34 cm
  2. 8 cm
  3. 40 cm
  4. 9 cm
  5. 3 cm
  6. 36 sq cm
  7. 24 sq cm
  8. 30 cm
  9. 11 cm
  10. 63 sq cm
  11. 165 sq cm
  12. 112 sq cm
  13. 52 cm
  14. 48 sq cm
  15. 225 sq cm
  16. 114 sq cm
  17. 144 sq cm
  18. 25 sq cm
  19. 196 sq cm
  20. 48 sq cm
  21. 3 cm
  22. 126 sq cm
  23. 168 sq cm
  24. 24 cm
  25. 11 cm
  26. 9 cm
  27. 24 sq cm
  28. 16 sq cm
  29. 35 sq cm
  30. 8 cm
  31. 60 sq cm
  32. 44 cm
  33. 49 sq cm
  34. 100 sq cm
  35. 30 sq cm
  36. 24 cm
  37. 75 sq cm
  38. 8 cm
  39. 45 sq cm
  40. 65 sq cm

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