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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 553 · 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 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 234 sq cm (c) 216 sq cm (d) 60 sq cm
  2. 2.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 90 sq cm (b) 72 sq cm (c) 44 sq cm (d) 22 sq cm
  3. 3.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 41 cm (b) 52 cm (c) 165 cm (d) 26 cm
  4. 4.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 17 cm
  5. 5.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
  6. 6.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 126 sq cm (c) 108 sq cm (d) 48 sq cm
  7. 7.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 9 cm (c) 18 cm (d) 10 cm
  8. 8.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 66 sq cm (c) 55 sq cm (d) 16 sq cm
  9. 9.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 80 cm
  10. 10.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
  11. 11.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 119 sq cm (d) 102 sq cm
  12. 12.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 108 cm (c) 14 cm (d) 7 cm
  13. 13.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
  14. 14.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 16 sq cm
  15. 15.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 144 cm
  16. 16.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 8 cm (c) 16 cm (d) 12 cm
  17. 17.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 9 sq cm (d) 18 sq cm
  18. 18.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 24 cm (c) 3 cm (d) 6 cm
  19. 19.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 44 cm (c) 22 cm (d) 35 cm
  20. 20.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  21. 21.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 8 cm (c) 66 cm (d) 14 cm
  22. 22.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 18 sq cm (c) 60 sq cm (d) 36 sq cm
  23. 23.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 77 cm (c) 8 cm (d) 16 cm
  24. 24.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 27 sq cm
  25. 25.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
  26. 26.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  27. 27.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 7 cm (c) 90 cm (d) 14 cm
  28. 28.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 14 sq cm (c) 28 sq cm (d) 45 sq cm
  29. 29.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 30 cm (c) 22 cm (d) 17 cm
  30. 30.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 22 cm (d) 48 cm
  31. 31.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 2 cm (c) 1 cm (d) 3 cm
  32. 32.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
  33. 33.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 20 cm (c) 126 cm (d) 11 cm
  34. 34.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 70 cm (c) 17 cm (d) 34 cm
  35. 35.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 60 sq cm (d) 50 sq cm
  36. 36.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 10 cm (c) 76 cm (d) 5 cm
  37. 37.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
  38. 38.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 204 cm (b) 58 cm (c) 46 cm (d) 29 cm
  39. 39.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 96 cm (c) 20 cm (d) 32 cm
  40. 40.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 26 sq cm (c) 120 sq cm (d) 52 sq cm

Answer key

  1. 216 sq cm
  2. 72 sq cm
  3. 52 cm
  4. 2 cm
  5. 25 sq cm
  6. 108 sq cm
  7. 9 cm
  8. 55 sq cm
  9. 5 cm
  10. 196 sq cm
  11. 102 sq cm
  12. 7 cm
  13. 81 sq cm
  14. 16 sq cm
  15. 9 cm
  16. 16 cm
  17. 14 sq cm
  18. 3 cm
  19. 44 cm
  20. 225 sq cm
  21. 7 cm
  22. 45 sq cm
  23. 8 cm
  24. 27 sq cm
  25. 144 sq cm
  26. 36 sq cm
  27. 7 cm
  28. 45 sq cm
  29. 22 cm
  30. 28 cm
  31. 2 cm
  32. 64 sq cm
  33. 10 cm
  34. 34 cm
  35. 50 sq cm
  36. 5 cm
  37. 169 sq cm
  38. 58 cm
  39. 40 cm
  40. 120 sq cm

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