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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 636 · 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) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  2. 2.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 14 cm (c) 7 cm (d) 8 cm
  3. 3.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 78 cm (c) 38 cm (d) 19 cm
  4. 4.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
  5. 5.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 52 sq cm (b) 144 sq cm (c) 162 sq cm (d) 26 sq cm
  6. 6.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
  7. 7.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 16 cm (c) 9 cm (d) 8 cm
  8. 8.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 112 sq cm (c) 21 sq cm (d) 42 sq cm
  9. 9.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 70 cm (b) 34 cm (c) 17 cm (d) 27 cm
  10. 10.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 80 cm
  11. 11.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 36 cm (d) 64 cm
  12. 12.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
  13. 13.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  14. 14.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 20 cm (d) 10 cm
  15. 15.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 120 sq cm (c) 135 sq cm (d) 46 sq cm
  16. 16.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 27 cm (c) 5 cm (d) 4 cm
  17. 17.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 13 cm (c) 26 cm (d) 22 cm
  18. 18.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 24 sq cm (d) 19 sq cm
  19. 19.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
  20. 20.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 33 cm (c) 45 cm (d) 18 cm
  21. 21.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 28 cm (c) 47 cm (d) 56 cm
  22. 22.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 43 cm (b) 153 cm (c) 52 cm (d) 26 cm
  23. 23.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 25 sq cm (d) 160 sq cm
  24. 24.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 96 cm (b) 44 cm (c) 22 cm (d) 38 cm
  25. 25.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 34 sq cm (b) 60 sq cm (c) 17 sq cm (d) 72 sq cm
  26. 26.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 10 cm (c) 3 cm (d) 4 cm
  27. 27.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 85 cm (c) 44 cm (d) 39 cm
  28. 28.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 70 sq cm (b) 36 sq cm (c) 18 sq cm (d) 56 sq cm
  29. 29.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 34 cm (b) 120 cm (c) 22 cm (d) 44 cm
  30. 30.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 56 sq cm (b) 180 sq cm (c) 28 sq cm (d) 198 sq cm
  31. 31.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
  32. 32.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 50 cm (c) 25 cm (d) 15 cm
  33. 33.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 28 sq cm (d) 35 sq cm
  34. 34.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
  35. 35.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 85 sq cm (d) 102 sq cm
  36. 36.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 52 cm (b) 240 cm (c) 32 cm (d) 64 cm
  37. 37.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 70 sq cm (d) 84 sq cm
  38. 38.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 135 cm (c) 20 cm (d) 10 cm
  39. 39.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 18 cm (c) 77 cm (d) 36 cm
  40. 40.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

Answer key

  1. 36 sq cm
  2. 7 cm
  3. 38 cm
  4. 100 sq cm
  5. 144 sq cm
  6. 121 sq cm
  7. 8 cm
  8. 98 sq cm
  9. 34 cm
  10. 5 cm
  11. 40 cm
  12. 64 sq cm
  13. 144 sq cm
  14. 20 cm
  15. 120 sq cm
  16. 4 cm
  17. 26 cm
  18. 18 sq cm
  19. 169 sq cm
  20. 36 cm
  21. 56 cm
  22. 52 cm
  23. 144 sq cm
  24. 44 cm
  25. 60 sq cm
  26. 3 cm
  27. 44 cm
  28. 56 sq cm
  29. 44 cm
  30. 180 sq cm
  31. 9 cm
  32. 30 cm
  33. 28 sq cm
  34. 25 sq cm
  35. 85 sq cm
  36. 64 cm
  37. 70 sq cm
  38. 10 cm
  39. 36 cm
  40. 225 sq cm

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