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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 61 · 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 has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 99 cm (c) 20 cm (d) 11 cm
  2. 2.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 117 cm
  3. 3.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 40 sq cm (c) 60 sq cm (d) 22 sq cm
  4. 4.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 63 sq cm (d) 54 sq cm
  5. 5.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 88 cm (c) 9 cm (d) 10 cm
  6. 6.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 28 cm (c) 18 cm (d) 22 cm
  7. 7.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 41 cm (b) 50 cm (c) 144 cm (d) 25 cm
  8. 8.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  9. 9.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 63 cm (c) 25 cm (d) 32 cm
  10. 10.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 28 cm (c) 66 cm (d) 34 cm
  11. 11.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 78 cm
  12. 12.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 26 sq cm (d) 169 sq cm
  13. 13.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 15 sq cm (c) 30 sq cm (d) 64 sq cm
  14. 14.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 68 sq cm (d) 51 sq cm
  15. 15.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 77 cm (c) 16 cm (d) 9 cm
  16. 16.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 114 sq cm (c) 95 sq cm (d) 48 sq cm
  17. 17.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 8 cm (c) 6 cm (d) 3 cm
  18. 18.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 54 cm (b) 39 cm (c) 21 cm (d) 42 cm
  19. 19.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 26 sq cm (c) 42 sq cm (d) 13 sq cm
  20. 20.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 8 cm (c) 4 cm (d) 5 cm
  21. 21.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 19 cm (b) 30 cm (c) 88 cm (d) 38 cm
  22. 22.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 20 cm (d) 22 cm
  23. 23.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 34 cm (b) 44 cm (c) 22 cm (d) 120 cm
  24. 24.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 49 cm (b) 180 cm (c) 58 cm (d) 29 cm
  25. 25.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 40 cm (c) 42 cm (d) 44 cm
  26. 26.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 100 sq cm (c) 19 sq cm (d) 90 sq cm
  27. 27.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  28. 28.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 49 sq cm (d) 12 sq cm
  29. 29.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
  30. 30.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 14 cm (d) 48 cm
  31. 31.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 55 sq cm (d) 44 sq cm
  32. 32.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 33 cm (b) 108 cm (c) 42 cm (d) 21 cm
  33. 33.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 41 cm (b) 26 cm (c) 52 cm (d) 165 cm
  34. 34.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 70 sq cm (c) 56 sq cm (d) 18 sq cm
  35. 35.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 12 cm
  36. 36.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 37 cm (b) 126 cm (c) 23 cm (d) 46 cm
  37. 37.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 20 cm (c) 10 cm (d) 11 cm
  38. 38.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 52 cm (b) 10 cm (c) 6 cm (d) 5 cm
  39. 39.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 4 cm (c) 3 cm (d) 6 cm
  40. 40.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 14 cm (c) 23 cm (d) 28 cm

Answer key

  1. 10 cm
  2. 10 cm
  3. 40 sq cm
  4. 54 sq cm
  5. 9 cm
  6. 22 cm
  7. 50 cm
  8. 225 sq cm
  9. 32 cm
  10. 34 cm
  11. 7 cm
  12. 169 sq cm
  13. 56 sq cm
  14. 51 sq cm
  15. 8 cm
  16. 95 sq cm
  17. 3 cm
  18. 42 cm
  19. 42 sq cm
  20. 4 cm
  21. 38 cm
  22. 24 cm
  23. 44 cm
  24. 58 cm
  25. 44 cm
  26. 90 sq cm
  27. 100 sq cm
  28. 36 sq cm
  29. 64 sq cm
  30. 28 cm
  31. 44 sq cm
  32. 42 cm
  33. 52 cm
  34. 56 sq cm
  35. 3 cm
  36. 46 cm
  37. 10 cm
  38. 5 cm
  39. 3 cm
  40. 28 cm

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