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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 450 · 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 square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
  2. 2.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 22 cm (d) 30 cm
  3. 3.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  4. 4.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 7 cm (c) 6 cm (d) 12 cm
  5. 5.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 46 sq cm (c) 90 sq cm (d) 23 sq cm
  6. 6.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 24 cm (c) 154 cm (d) 12 cm
  7. 7.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 14 cm (d) 9 cm
  8. 8.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  9. 9.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 26 sq cm (d) 48 sq cm
  10. 10.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 85 sq cm (c) 22 sq cm (d) 44 sq cm
  11. 11.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 187 sq cm (c) 54 sq cm (d) 170 sq cm
  12. 12.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
  13. 13.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 38 cm
  14. 14.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 29 cm (c) 36 cm (d) 77 cm
  15. 15.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq 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) 48 sq cm (d) 95 sq cm
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
  18. 18.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 18 sq cm (d) 21 sq cm
  19. 19.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 96 sq cm (c) 21 sq cm (d) 80 sq cm
  20. 20.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 24 cm (d) 10 cm
  21. 21.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 10 sq cm (d) 20 sq cm
  22. 22.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 27 sq cm (c) 54 sq cm (d) 176 sq cm
  23. 23.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 54 sq cm (c) 27 sq cm (d) 152 sq cm
  24. 24.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 14 cm (c) 72 cm (d) 7 cm
  25. 25.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 88 sq cm (c) 18 sq cm (d) 77 sq cm
  26. 26.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
  27. 27.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  28. 28.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 30 sq cm (c) 24 sq cm (d) 20 sq cm
  29. 29.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 84 cm
  30. 30.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
  31. 31.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 48 cm
  32. 32.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 90 cm (c) 21 cm (d) 36 cm
  33. 33.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 21 sq cm (b) 98 sq cm (c) 42 sq cm (d) 112 sq cm
  34. 34.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 105 cm
  35. 35.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 16 sq cm
  36. 36.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  37. 37.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 48 cm (c) 108 cm (d) 24 cm
  38. 38.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 34 cm (c) 19 cm (d) 38 cm
  39. 39.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 12 cm (d) 24 cm
  40. 40.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 76 cm (b) 10 cm (c) 5 cm (d) 6 cm

Answer key

  1. 25 sq cm
  2. 22 cm
  3. 144 sq cm
  4. 6 cm
  5. 90 sq cm
  6. 12 cm
  7. 18 cm
  8. 49 sq cm
  9. 40 sq cm
  10. 85 sq cm
  11. 170 sq cm
  12. 169 sq cm
  13. 3 cm
  14. 36 cm
  15. 64 sq cm
  16. 95 sq cm
  17. 81 sq cm
  18. 14 sq cm
  19. 80 sq cm
  20. 20 cm
  21. 24 sq cm
  22. 176 sq cm
  23. 152 sq cm
  24. 7 cm
  25. 77 sq cm
  26. 196 sq cm
  27. 36 sq cm
  28. 20 sq cm
  29. 8 cm
  30. 100 sq cm
  31. 5 cm
  32. 42 cm
  33. 98 sq cm
  34. 8 cm
  35. 16 sq cm
  36. 225 sq cm
  37. 48 cm
  38. 38 cm
  39. 24 cm
  40. 5 cm

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