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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 452 · 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) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  2. 2.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 90 sq cm (d) 100 sq cm
  3. 3.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 28 cm (c) 10 cm (d) 5 cm
  4. 4.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 126 cm (b) 50 cm (c) 43 cm (d) 25 cm
  5. 5.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
  6. 6.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 20 cm (c) 4 cm (d) 3 cm
  7. 7.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 100 sq cm (d) 40 sq cm
  8. 8.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 195 sq cm (d) 180 sq cm
  9. 9.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
  10. 10.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 45 sq cm (c) 17 sq cm (d) 30 sq cm
  11. 11.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 14 cm (b) 48 cm (c) 8 cm (d) 7 cm
  12. 12.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 108 sq cm (b) 96 sq cm (c) 40 sq cm (d) 20 sq cm
  13. 13.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 29 cm (c) 39 cm (d) 32 cm
  14. 14.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 56 cm (b) 18 cm (c) 36 cm (d) 32 cm
  15. 15.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 35 cm (b) 23 cm (c) 132 cm (d) 46 cm
  16. 16.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 11 cm (c) 140 cm (d) 22 cm
  17. 17.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 180 cm (c) 49 cm (d) 58 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) 30 sq cm (d) 20 sq cm
  19. 19.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
  20. 20.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 26 cm (b) 43 cm (c) 153 cm (d) 52 cm
  21. 21.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 144 sq cm (d) 162 sq cm
  22. 22.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 143 sq cm (c) 48 sq cm (d) 156 sq cm
  23. 23.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 72 cm (c) 18 cm (d) 30 cm
  24. 24.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 9 cm (c) 14 cm (d) 18 cm
  25. 25.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
  26. 26.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 76 cm (c) 5 cm (d) 6 cm
  27. 27.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  28. 28.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 35 sq cm (d) 28 sq cm
  29. 29.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 11 cm (c) 10 cm (d) 20 cm
  30. 30.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 110 cm (c) 32 cm (d) 42 cm
  31. 31.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 100 sq cm (c) 25 sq cm (d) 50 sq cm
  32. 32.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
  33. 33.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 14 cm (c) 7 cm (d) 8 cm
  34. 34.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
  35. 35.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 11 cm (d) 22 cm
  36. 36.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 34 cm (c) 6 cm (d) 3 cm
  37. 37.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 56 sq cm (c) 17 sq cm (d) 34 sq cm
  38. 38.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 36 sq cm (c) 22 sq cm (d) 30 sq cm
  39. 39.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 13 cm (c) 187 cm (d) 12 cm
  40. 40.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 120 cm (c) 12 cm (d) 11 cm

Answer key

  1. 25 sq cm
  2. 90 sq cm
  3. 5 cm
  4. 50 cm
  5. 144 sq cm
  6. 3 cm
  7. 100 sq cm
  8. 180 sq cm
  9. 49 sq cm
  10. 30 sq cm
  11. 7 cm
  12. 96 sq cm
  13. 32 cm
  14. 36 cm
  15. 46 cm
  16. 11 cm
  17. 58 cm
  18. 24 sq cm
  19. 196 sq cm
  20. 52 cm
  21. 144 sq cm
  22. 143 sq cm
  23. 36 cm
  24. 18 cm
  25. 121 sq cm
  26. 5 cm
  27. 81 sq cm
  28. 28 sq cm
  29. 10 cm
  30. 42 cm
  31. 100 sq cm
  32. 16 sq cm
  33. 7 cm
  34. 56 sq cm
  35. 22 cm
  36. 3 cm
  37. 42 sq cm
  38. 30 sq cm
  39. 12 cm
  40. 11 cm

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