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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 522 · 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 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 35 sq cm (d) 11 sq cm
  2. 2.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 20 cm (d) 42 cm
  3. 3.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
  4. 4.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
  5. 5.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 20 cm (c) 17 cm (d) 10 cm
  6. 6.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 16 cm (c) 32 cm (d) 48 cm
  7. 7.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
  9. 9.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 68 sq cm (b) 85 sq cm (c) 21 sq cm (d) 42 sq cm
  10. 10.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 9 cm (c) 119 cm (d) 8 cm
  11. 11.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
  12. 12.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 56 sq cm (c) 28 sq cm (d) 160 sq cm
  13. 13.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 51 sq cm (c) 34 sq cm (d) 38 sq cm
  14. 14.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 60 sq cm (d) 50 sq cm
  15. 15.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
  16. 16.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 40 cm (c) 13 cm (d) 21 cm
  17. 17.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 36 cm (b) 77 cm (c) 29 cm (d) 18 cm
  18. 18.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 27 sq cm (c) 36 sq cm (d) 12 sq cm
  19. 19.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 38 cm
  20. 20.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 11 cm (c) 18 cm (d) 22 cm
  21. 21.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 154 cm (c) 24 cm (d) 12 cm
  22. 22.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 22 sq cm (c) 11 sq cm (d) 18 sq cm
  23. 23.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 51 cm (c) 4 cm (d) 5 cm
  24. 24.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 14 cm
  25. 25.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 81 sq cm (d) 72 sq cm
  26. 26.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 5 cm (c) 8 cm (d) 4 cm
  27. 27.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
  28. 28.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 36 cm (c) 40 cm (d) 20 cm
  29. 29.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 41 cm (b) 26 cm (c) 165 cm (d) 52 cm
  30. 30.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 44 cm (b) 50 cm (c) 114 cm (d) 25 cm
  31. 31.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 45 sq cm (d) 54 sq cm
  32. 32.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 128 sq cm (b) 46 sq cm (c) 23 sq cm (d) 112 sq cm
  33. 33.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 64 cm
  34. 34.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
  35. 35.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
  36. 36.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 18 cm
  37. 37.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 28 cm (d) 80 cm
  38. 38.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 36 sq cm (c) 45 sq cm (d) 18 sq cm
  39. 39.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 4 cm (c) 9 cm (d) 3 cm
  40. 40.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 22 sq cm (d) 11 sq cm

Answer key

  1. 28 sq cm
  2. 26 cm
  3. 100 sq cm
  4. 81 sq cm
  5. 20 cm
  6. 32 cm
  7. 169 sq cm
  8. 36 sq cm
  9. 68 sq cm
  10. 8 cm
  11. 196 sq cm
  12. 160 sq cm
  13. 34 sq cm
  14. 50 sq cm
  15. 65 sq cm
  16. 26 cm
  17. 36 cm
  18. 27 sq cm
  19. 3 cm
  20. 22 cm
  21. 12 cm
  22. 18 sq cm
  23. 4 cm
  24. 2 cm
  25. 72 sq cm
  26. 4 cm
  27. 5 cm
  28. 40 cm
  29. 52 cm
  30. 50 cm
  31. 45 sq cm
  32. 112 sq cm
  33. 5 cm
  34. 24 sq cm
  35. 49 sq cm
  36. 20 cm
  37. 36 cm
  38. 45 sq cm
  39. 2 cm
  40. 30 sq cm

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