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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 757 · 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 10 cm long and 9 cm wide. What is its perimeter? (a) 38 cm (b) 90 cm (c) 29 cm (d) 19 cm
  2. 2.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 22 sq cm (c) 126 sq cm (d) 44 sq cm
  3. 3.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 91 sq cm (b) 19 sq cm (c) 78 sq cm (d) 38 sq cm
  4. 4.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 26 cm (c) 13 cm (d) 20 cm
  5. 5.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
  6. 6.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 24 cm (c) 22 cm (d) 26 cm
  7. 7.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 32 cm (b) 40 cm (c) 20 cm (d) 96 cm
  8. 8.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  9. 9.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 2 cm (c) 5 cm (d) 3 cm
  10. 10.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 108 sq cm (c) 46 sq cm (d) 23 sq cm
  11. 11.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 133 cm (c) 8 cm (d) 16 cm
  12. 12.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 27 sq cm (d) 12 sq cm
  13. 13.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
  14. 14.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 60 sq cm (d) 30 sq cm
  15. 15.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 132 sq cm (c) 144 sq cm (d) 46 sq cm
  16. 16.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 20 sq cm (c) 40 sq cm (d) 68 sq cm
  17. 17.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 4 cm (c) 15 cm (d) 3 cm
  18. 18.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 24 sq cm (d) 128 sq cm
  19. 19.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 38 cm (b) 48 cm (c) 19 cm (d) 35 cm
  20. 20.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 84 sq cm (d) 96 sq cm
  21. 21.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 70 cm (c) 33 cm (d) 38 cm
  22. 22.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 50 sq cm (d) 60 sq cm
  23. 23.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 168 sq cm (d) 182 sq cm
  24. 24.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
  25. 25.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 65 sq cm (d) 78 sq cm
  26. 26.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
  27. 27.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 18 sq cm (c) 27 sq cm (d) 22 sq cm
  28. 28.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 70 sq cm (c) 56 sq cm (d) 36 sq cm
  29. 29.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 36 sq cm (d) 45 sq cm
  30. 30.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 4 cm (c) 60 cm (d) 8 cm
  31. 31.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 34 sq cm (c) 17 sq cm (d) 42 sq cm
  32. 32.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 25 sq cm (c) 50 sq cm (d) 114 sq cm
  33. 33.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 143 sq cm (b) 48 sq cm (c) 156 sq cm (d) 24 sq cm
  34. 34.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 18 cm
  35. 35.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 48 sq cm (c) 13 sq cm (d) 40 sq cm
  36. 36.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 80 sq cm (c) 46 sq cm (d) 23 sq cm
  37. 37.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 4 cm (c) 22 cm (d) 3 cm
  38. 38.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 36 cm (c) 26 cm (d) 22 cm
  39. 39.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 34 sq cm (c) 51 sq cm (d) 38 sq cm
  40. 40.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 45 cm (c) 5 cm (d) 4 cm

Answer key

  1. 38 cm
  2. 112 sq cm
  3. 78 sq cm
  4. 26 cm
  5. 81 sq cm
  6. 26 cm
  7. 40 cm
  8. 49 sq cm
  9. 2 cm
  10. 90 sq cm
  11. 8 cm
  12. 27 sq cm
  13. 121 sq cm
  14. 225 sq cm
  15. 132 sq cm
  16. 51 sq cm
  17. 2 cm
  18. 128 sq cm
  19. 38 cm
  20. 84 sq cm
  21. 38 cm
  22. 50 sq cm
  23. 168 sq cm
  24. 64 sq cm
  25. 65 sq cm
  26. 25 sq cm
  27. 18 sq cm
  28. 56 sq cm
  29. 36 sq cm
  30. 4 cm
  31. 42 sq cm
  32. 114 sq cm
  33. 143 sq cm
  34. 2 cm
  35. 40 sq cm
  36. 60 sq cm
  37. 3 cm
  38. 26 cm
  39. 34 sq cm
  40. 4 cm

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