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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 679 · 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 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 180 sq cm (c) 58 sq cm (d) 200 sq cm
  2. 2.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 25 sq cm (b) 168 sq cm (c) 154 sq cm (d) 50 sq cm
  3. 3.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
  4. 4.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 30 sq cm
  5. 5.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) 3 cm (d) 4 cm
  6. 6.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 42 cm (c) 5 cm (d) 8 cm
  7. 7.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 108 cm
  8. 8.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 38 cm (d) 140 cm
  9. 9.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 24 cm (c) 19 cm (d) 22 cm
  10. 10.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 13 cm (c) 20 cm (d) 26 cm
  11. 11.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 14 cm (d) 16 cm
  12. 12.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
  13. 13.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 120 cm (b) 38 cm (c) 23 cm (d) 46 cm
  14. 14.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 99 cm
  15. 15.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
  16. 16.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 70 sq cm (c) 19 sq cm (d) 84 sq cm
  17. 17.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 12 cm (d) 11 cm
  18. 18.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 24 cm (b) 135 cm (c) 39 cm (d) 48 cm
  19. 19.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 45 sq cm (d) 30 sq cm
  20. 20.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 192 cm (d) 44 cm
  21. 21.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
  22. 22.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 96 cm (b) 40 cm (c) 20 cm (d) 32 cm
  23. 23.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 42 sq cm (d) 49 sq cm
  24. 24.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 54 cm (c) 15 cm (d) 24 cm
  25. 25.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 56 cm (d) 23 cm
  26. 26.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 19 cm
  27. 27.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 160 cm (c) 26 cm (d) 52 cm
  28. 28.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 36 sq cm (c) 18 sq cm (d) 60 sq cm
  29. 29.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 28 cm (b) 47 cm (c) 171 cm (d) 56 cm
  30. 30.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 28 sq cm (c) 190 sq cm (d) 56 sq cm
  31. 31.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 49 cm (b) 29 cm (c) 58 cm (d) 180 cm
  32. 32.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 198 sq cm (d) 180 sq cm
  33. 33.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 4 cm (c) 3 cm (d) 2 cm
  34. 34.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 16 cm (b) 8 cm (c) 70 cm (d) 9 cm
  35. 35.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
  36. 36.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 34 cm (c) 31 cm (d) 17 cm
  37. 37.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 25 sq cm (c) 136 sq cm (d) 50 sq cm
  38. 38.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 105 sq cm (b) 22 sq cm (c) 44 sq cm (d) 120 sq cm
  39. 39.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 70 sq cm (b) 56 sq cm (c) 36 sq cm (d) 18 sq cm
  40. 40.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 102 sq cm (c) 23 sq cm (d) 119 sq cm

Answer key

  1. 180 sq cm
  2. 154 sq cm
  3. 25 sq cm
  4. 24 sq cm
  5. 3 cm
  6. 4 cm
  7. 7 cm
  8. 48 cm
  9. 22 cm
  10. 26 cm
  11. 16 cm
  12. 100 sq cm
  13. 46 cm
  14. 10 cm
  15. 49 sq cm
  16. 70 sq cm
  17. 11 cm
  18. 48 cm
  19. 30 sq cm
  20. 56 cm
  21. 169 sq cm
  22. 40 cm
  23. 42 sq cm
  24. 30 cm
  25. 30 cm
  26. 2 cm
  27. 52 cm
  28. 45 sq cm
  29. 56 cm
  30. 171 sq cm
  31. 58 cm
  32. 180 sq cm
  33. 2 cm
  34. 8 cm
  35. 225 sq cm
  36. 34 cm
  37. 136 sq cm
  38. 105 sq cm
  39. 56 sq cm
  40. 102 sq cm

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