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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 747 · 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 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 15 cm (c) 27 cm (d) 30 cm
  2. 2.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
  3. 3.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 34 cm (c) 17 cm (d) 60 cm
  4. 4.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 170 sq cm (c) 153 sq cm (d) 26 sq cm
  5. 5.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 187 sq cm (c) 27 sq cm (d) 170 sq cm
  6. 6.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 18 sq cm (d) 12 sq cm
  7. 7.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 117 sq cm (b) 44 sq cm (c) 130 sq cm (d) 22 sq cm
  8. 8.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 3 cm (c) 6 cm (d) 4 cm
  9. 9.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 22 cm (c) 12 cm (d) 11 cm
  10. 10.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 45 cm (c) 28 cm (d) 23 cm
  11. 11.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 90 sq cm (d) 80 sq cm
  12. 12.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 48 sq cm (c) 16 sq cm (d) 32 sq cm
  13. 13.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
  14. 14.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
  15. 15.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 17 cm (b) 4 cm (c) 3 cm (d) 2 cm
  16. 16.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 19 cm (c) 38 cm (d) 30 cm
  17. 17.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
  18. 18.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  19. 19.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 28 cm (c) 56 cm (d) 47 cm
  20. 20.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 20 cm (c) 153 cm (d) 11 cm
  21. 21.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 10 cm (c) 112 cm (d) 9 cm
  22. 22.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 144 sq cm (c) 132 sq cm (d) 46 sq cm
  23. 23.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 32 cm (c) 56 cm (d) 36 cm
  24. 24.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  25. 25.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 30 cm
  26. 26.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 24 cm (d) 12 cm
  27. 27.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 28 sq cm (c) 24 sq cm (d) 14 sq cm
  28. 28.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 76 sq cm (c) 44 sq cm (d) 57 sq cm
  29. 29.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
  30. 30.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 64 sq cm (d) 48 sq cm
  31. 31.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 95 sq cm (c) 76 sq cm (d) 46 sq cm
  32. 32.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 19 cm (c) 24 cm (d) 35 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) 10 cm (c) 64 cm (d) 5 cm
  34. 34.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 90 cm (c) 42 cm (d) 21 cm
  35. 35.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 11 cm (d) 22 cm
  36. 36.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 7 cm (c) 8 cm (d) 14 cm
  37. 37.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 28 sq cm (d) 14 sq cm
  38. 38.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 165 cm (c) 12 cm (d) 24 cm
  39. 39.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 21 sq cm (c) 28 sq cm (d) 10 sq cm
  40. 40.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 100 sq cm (b) 120 sq cm (c) 50 sq cm (d) 25 sq cm

Answer key

  1. 30 cm
  2. 36 sq cm
  3. 34 cm
  4. 153 sq cm
  5. 170 sq cm
  6. 12 sq cm
  7. 117 sq cm
  8. 3 cm
  9. 11 cm
  10. 28 cm
  11. 80 sq cm
  12. 48 sq cm
  13. 196 sq cm
  14. 25 sq cm
  15. 2 cm
  16. 38 cm
  17. 81 sq cm
  18. 169 sq cm
  19. 56 cm
  20. 10 cm
  21. 9 cm
  22. 132 sq cm
  23. 36 cm
  24. 225 sq cm
  25. 4 cm
  26. 24 cm
  27. 24 sq cm
  28. 57 sq cm
  29. 100 sq cm
  30. 48 sq cm
  31. 76 sq cm
  32. 24 cm
  33. 5 cm
  34. 42 cm
  35. 22 cm
  36. 7 cm
  37. 48 sq cm
  38. 12 cm
  39. 21 sq cm
  40. 100 sq cm

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