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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 195 · 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 13 cm long and 4 cm wide. What is its perimeter? (a) 52 cm (b) 34 cm (c) 17 cm (d) 30 cm
  2. 2.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
  3. 3.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 24 cm (c) 26 cm (d) 28 cm
  4. 4.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
  5. 5.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 16 cm (c) 32 cm (d) 25 cm
  6. 6.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 30 sq cm (c) 20 sq cm (d) 24 sq cm
  7. 7.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 16 cm (c) 119 cm (d) 8 cm
  8. 8.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 9 cm (c) 104 cm (d) 10 cm
  9. 9.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
  10. 10.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 21 sq cm (d) 20 sq cm
  11. 11.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 60 cm (c) 7 cm (d) 12 cm
  12. 12.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 126 sq cm (c) 23 sq cm (d) 46 sq cm
  13. 13.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 11 cm (c) 135 cm (d) 10 cm
  14. 14.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 12 sq cm (d) 40 sq cm
  15. 15.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 49 sq cm (d) 42 sq cm
  16. 16.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 40 sq cm (d) 30 sq cm
  17. 17.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 180 sq cm (b) 198 sq cm (c) 56 sq cm (d) 28 sq cm
  18. 18.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 19 sq cm (c) 38 sq cm (d) 84 sq cm
  19. 19.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 126 cm (b) 25 cm (c) 43 cm (d) 50 cm
  20. 20.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 48 sq cm (b) 156 sq cm (c) 24 sq cm (d) 143 sq cm
  21. 21.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 132 cm (d) 35 cm
  22. 22.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  23. 23.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 30 cm (c) 4 cm (d) 3 cm
  24. 24.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 30 sq cm (c) 36 sq cm (d) 22 sq cm
  25. 25.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
  26. 26.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 133 cm (b) 16 cm (c) 9 cm (d) 8 cm
  27. 27.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 9 cm (c) 88 cm (d) 18 cm
  28. 28.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 119 sq cm (b) 46 sq cm (c) 102 sq cm (d) 23 sq cm
  29. 29.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 12 sq cm (d) 16 sq cm
  30. 30.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 14 cm (c) 16 cm (d) 8 cm
  31. 31.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 95 sq cm (d) 76 sq cm
  32. 32.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 15 cm (c) 54 cm (d) 30 cm
  33. 33.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  34. 34.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 11 sq cm (d) 22 sq cm
  35. 35.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 200 sq cm (c) 220 sq cm (d) 30 sq cm
  36. 36.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 38 cm (c) 20 cm (d) 40 cm
  37. 37.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 216 sq cm (d) 234 sq cm
  38. 38.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 46 sq cm (c) 23 sq cm (d) 90 sq cm
  39. 39.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  40. 40.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 72 sq cm (d) 54 sq cm

Answer key

  1. 34 cm
  2. 64 sq cm
  3. 28 cm
  4. 49 sq cm
  5. 32 cm
  6. 24 sq cm
  7. 8 cm
  8. 9 cm
  9. 225 sq cm
  10. 21 sq cm
  11. 6 cm
  12. 126 sq cm
  13. 10 cm
  14. 32 sq cm
  15. 42 sq cm
  16. 30 sq cm
  17. 180 sq cm
  18. 84 sq cm
  19. 50 cm
  20. 143 sq cm
  21. 46 cm
  22. 36 sq cm
  23. 3 cm
  24. 30 sq cm
  25. 100 sq cm
  26. 8 cm
  27. 9 cm
  28. 102 sq cm
  29. 12 sq cm
  30. 16 cm
  31. 76 sq cm
  32. 30 cm
  33. 25 sq cm
  34. 24 sq cm
  35. 200 sq cm
  36. 40 cm
  37. 216 sq cm
  38. 90 sq cm
  39. 169 sq cm
  40. 54 sq cm

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