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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 152 · 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 14 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 32 cm (c) 18 cm (d) 56 cm
  2. 2.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 34 sq cm (c) 80 sq cm (d) 17 sq cm
  3. 3.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 240 cm (b) 52 cm (c) 32 cm (d) 64 cm
  4. 4.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 22 cm (c) 17 cm (d) 11 cm
  5. 5.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 15 cm (c) 19 cm (d) 18 cm
  6. 6.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 76 sq cm (b) 23 sq cm (c) 95 sq cm (d) 46 sq cm
  7. 7.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 12 cm (c) 154 cm (d) 13 cm
  8. 8.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 44 cm (d) 15 cm
  9. 9.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 18 cm (c) 20 cm (d) 11 cm
  10. 10.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 78 cm
  11. 11.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm
  12. 12.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 46 sq cm (c) 108 sq cm (d) 23 sq cm
  13. 13.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 72 sq cm (d) 84 sq cm
  14. 14.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 102 sq cm (c) 44 sq cm (d) 22 sq cm
  15. 15.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 140 sq cm (b) 24 sq cm (c) 154 sq cm (d) 48 sq cm
  16. 16.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 160 cm (c) 10 cm (d) 9 cm
  17. 17.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 140 sq cm (b) 160 sq cm (c) 54 sq cm (d) 27 sq cm
  18. 18.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 49 sq cm (d) 24 sq cm
  19. 19.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 19 cm (c) 38 cm (d) 60 cm
  20. 20.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  21. 21.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 22 sq cm (c) 44 sq cm (d) 126 sq cm
  22. 22.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  23. 23.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 18 sq cm (d) 19 sq cm
  24. 24.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 98 sq cm (b) 40 sq cm (c) 84 sq cm (d) 20 sq cm
  25. 25.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 51 cm (b) 62 cm (c) 220 cm (d) 31 cm
  26. 26.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
  27. 27.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 16 cm (c) 4 cm (d) 2 cm
  28. 28.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
  29. 29.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 165 sq cm (b) 25 sq cm (c) 150 sq cm (d) 50 sq cm
  30. 30.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 91 sq cm (b) 19 sq cm (c) 78 sq cm (d) 38 sq cm
  31. 31.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 65 cm (c) 31 cm (d) 36 cm
  32. 32.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 2 cm (c) 18 cm (d) 4 cm
  33. 33.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
  34. 34.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 42 cm (c) 21 cm (d) 90 cm
  35. 35.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 40 sq cm (d) 50 sq cm
  36. 36.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
  37. 37.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 35 cm (b) 38 cm (c) 19 cm (d) 48 cm
  38. 38.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 26 cm (c) 6 cm (d) 4 cm
  39. 39.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 112 cm
  40. 40.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 29 cm (c) 190 cm (d) 58 cm

Answer key

  1. 36 cm
  2. 70 sq cm
  3. 64 cm
  4. 22 cm
  5. 18 cm
  6. 76 sq cm
  7. 12 cm
  8. 30 cm
  9. 22 cm
  10. 7 cm
  11. 24 sq cm
  12. 90 sq cm
  13. 72 sq cm
  14. 85 sq cm
  15. 140 sq cm
  16. 9 cm
  17. 140 sq cm
  18. 36 sq cm
  19. 38 cm
  20. 169 sq cm
  21. 112 sq cm
  22. 64 sq cm
  23. 18 sq cm
  24. 84 sq cm
  25. 62 cm
  26. 196 sq cm
  27. 2 cm
  28. 121 sq cm
  29. 150 sq cm
  30. 78 sq cm
  31. 36 cm
  32. 2 cm
  33. 81 sq cm
  34. 42 cm
  35. 40 sq cm
  36. 49 sq cm
  37. 38 cm
  38. 3 cm
  39. 8 cm
  40. 58 cm

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