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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 931 · 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 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
  2. 2.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
  3. 3.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
  4. 4.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
  5. 5.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 23 sq cm (c) 90 sq cm (d) 46 sq cm
  6. 6.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 85 cm (c) 44 cm (d) 22 cm
  7. 7.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 48 sq cm (c) 26 sq cm (d) 13 sq cm
  8. 8.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 168 cm (c) 52 cm (d) 26 cm
  9. 9.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
  10. 10.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 41 cm (b) 119 cm (c) 48 cm (d) 24 cm
  11. 11.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 51 sq cm (b) 38 sq cm (c) 19 sq cm (d) 34 sq cm
  12. 12.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 19 sq cm (c) 18 sq cm (d) 9 sq cm
  13. 13.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 176 sq cm (c) 52 sq cm (d) 160 sq cm
  14. 14.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 153 cm
  15. 15.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  16. 16.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 85 cm
  17. 17.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 169 sq cm (d) 48 sq cm
  18. 18.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  19. 19.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 14 cm (c) 6 cm (d) 4 cm
  20. 20.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 20 cm (c) 117 cm (d) 11 cm
  21. 21.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 24 cm (c) 4 cm (d) 8 cm
  22. 22.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 18 sq cm (c) 36 sq cm (d) 65 sq cm
  23. 23.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 12 cm (c) 7 cm (d) 6 cm
  24. 24.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 36 cm (c) 64 cm (d) 40 cm
  25. 25.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 28 cm (b) 192 cm (c) 44 cm (d) 56 cm
  26. 26.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 36 cm (c) 22 cm (d) 112 cm
  27. 27.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 10 sq cm
  28. 28.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 180 cm
  29. 29.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 44 cm (c) 54 cm (d) 27 cm
  30. 30.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 144 cm (c) 10 cm (d) 20 cm
  31. 31.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 132 cm (d) 35 cm
  32. 32.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 176 cm (b) 54 cm (c) 43 cm (d) 27 cm
  33. 33.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 170 sq cm (d) 187 sq cm
  34. 34.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 19 cm (c) 9 cm (d) 15 cm
  35. 35.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
  36. 36.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  37. 37.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 48 cm
  38. 38.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 16 sq cm (c) 32 sq cm (d) 66 sq cm
  39. 39.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 64 cm (b) 240 cm (c) 52 cm (d) 32 cm
  40. 40.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

Answer key

  1. 36 sq cm
  2. 225 sq cm
  3. 180 sq cm
  4. 150 sq cm
  5. 90 sq cm
  6. 44 cm
  7. 40 sq cm
  8. 52 cm
  9. 121 sq cm
  10. 48 cm
  11. 34 sq cm
  12. 18 sq cm
  13. 160 sq cm
  14. 10 cm
  15. 49 sq cm
  16. 6 cm
  17. 144 sq cm
  18. 25 sq cm
  19. 3 cm
  20. 10 cm
  21. 4 cm
  22. 65 sq cm
  23. 6 cm
  24. 40 cm
  25. 56 cm
  26. 44 cm
  27. 24 sq cm
  28. 11 cm
  29. 54 cm
  30. 10 cm
  31. 46 cm
  32. 54 cm
  33. 170 sq cm
  34. 18 cm
  35. 81 sq cm
  36. 64 sq cm
  37. 7 cm
  38. 55 sq cm
  39. 64 cm
  40. 16 cm

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