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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 169 · 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 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 36 cm (c) 22 cm (d) 26 cm
  2. 2.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 91 sq cm (d) 78 sq cm
  3. 3.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 23 cm (c) 46 cm (d) 76 cm
  4. 4.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 8 cm (b) 18 cm (c) 4 cm (d) 5 cm
  5. 5.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 80 cm (b) 21 cm (c) 37 cm (d) 42 cm
  6. 6.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 38 sq cm (b) 75 sq cm (c) 19 sq cm (d) 60 sq cm
  7. 7.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 22 cm (c) 11 cm (d) 30 cm
  8. 8.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 24 cm
  9. 9.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 10 cm (c) 108 cm (d) 20 cm
  10. 10.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 63 sq cm (c) 54 sq cm (d) 15 sq cm
  11. 11.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
  12. 12.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 170 cm
  13. 13.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 54 cm (c) 4 cm (d) 8 cm
  14. 14.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 144 cm (d) 41 cm
  15. 15.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 40 cm (c) 10 cm (d) 6 cm
  16. 16.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 42 cm (c) 68 cm (d) 21 cm
  17. 17.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 96 cm (c) 7 cm (d) 14 cm
  18. 18.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 30 sq cm
  19. 19.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
  20. 20.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 11 cm (d) 22 cm
  21. 21.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 33 cm (b) 70 cm (c) 38 cm (d) 19 cm
  22. 22.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
  23. 23.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 98 sq cm (b) 20 sq cm (c) 84 sq cm (d) 40 sq cm
  24. 24.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 29 cm (c) 90 cm (d) 38 cm
  25. 25.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 20 sq cm (c) 28 sq cm (d) 10 sq cm
  26. 26.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  27. 27.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 13 sq cm (d) 30 sq cm
  28. 28.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  29. 29.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
  30. 30.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 18 cm (c) 2 cm (d) 3 cm
  31. 31.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 105 sq cm (c) 21 sq cm (d) 42 sq cm
  32. 32.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 21 cm (d) 27 cm
  33. 33.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 66 cm (c) 28 cm (d) 34 cm
  34. 34.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 22 cm (c) 130 cm (d) 11 cm
  35. 35.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 56 sq cm (d) 64 sq cm
  36. 36.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
  37. 37.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 8 cm (c) 126 cm (d) 9 cm
  38. 38.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 135 sq cm (c) 120 sq cm (d) 23 sq cm
  39. 39.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 48 cm (c) 22 cm (d) 28 cm
  40. 40.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 152 cm (b) 46 cm (c) 27 cm (d) 54 cm

Answer key

  1. 26 cm
  2. 78 sq cm
  3. 46 cm
  4. 4 cm
  5. 42 cm
  6. 60 sq cm
  7. 22 cm
  8. 5 cm
  9. 10 cm
  10. 54 sq cm
  11. 40 cm
  12. 11 cm
  13. 4 cm
  14. 50 cm
  15. 5 cm
  16. 42 cm
  17. 7 cm
  18. 24 sq cm
  19. 48 sq cm
  20. 22 cm
  21. 38 cm
  22. 121 sq cm
  23. 84 sq cm
  24. 38 cm
  25. 21 sq cm
  26. 49 sq cm
  27. 30 sq cm
  28. 100 sq cm
  29. 36 sq cm
  30. 2 cm
  31. 90 sq cm
  32. 24 cm
  33. 34 cm
  34. 11 cm
  35. 56 sq cm
  36. 25 sq cm
  37. 8 cm
  38. 120 sq cm
  39. 28 cm
  40. 54 cm

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