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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 13 · 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 5 cm wide. What is its perimeter? (a) 50 cm (b) 100 cm (c) 25 cm (d) 45 cm
  2. 2.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 85 cm
  3. 3.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 12 cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  5. 5.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
  6. 6.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm
  7. 7.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 100 cm (c) 6 cm (d) 7 cm
  8. 8.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
  9. 9.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 60 cm (d) 34 cm
  10. 10.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  11. 11.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 90 sq cm (c) 46 sq cm (d) 108 sq cm
  12. 12.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
  13. 13.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 60 sq cm (c) 19 sq cm (d) 38 sq cm
  14. 14.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 162 cm
  15. 15.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 91 sq cm (c) 104 sq cm (d) 40 sq cm
  16. 16.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 99 sq cm (c) 110 sq cm (d) 20 sq cm
  17. 17.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  18. 18.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 13 cm (d) 23 cm
  19. 19.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 24 sq cm (d) 32 sq cm
  20. 20.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 24 sq cm (d) 9 sq cm
  21. 21.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 22 cm (c) 150 cm (d) 11 cm
  22. 22.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 120 sq cm (c) 140 sq cm (d) 52 sq cm
  23. 23.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 52 cm (b) 17 cm (c) 34 cm (d) 30 cm
  24. 24.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
  25. 25.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 30 cm (c) 22 cm (d) 17 cm
  26. 26.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 208 sq cm (d) 192 sq cm
  27. 27.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 105 cm (d) 37 cm
  28. 28.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 51 cm (c) 62 cm (d) 220 cm
  29. 29.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 57 sq cm (c) 21 sq cm (d) 38 sq cm
  30. 30.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
  31. 31.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 18 sq cm (c) 22 sq cm (d) 11 sq cm
  32. 32.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 40 sq cm (c) 20 sq cm (d) 64 sq cm
  33. 33.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 36 sq cm (d) 11 sq cm
  34. 34.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 54 cm (c) 27 cm (d) 152 cm
  35. 35.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 35 cm (c) 19 cm (d) 24 cm
  36. 36.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 42 sq cm (c) 24 sq cm (d) 35 sq cm
  37. 37.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 135 sq cm (c) 120 sq cm (d) 46 sq cm
  38. 38.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 60 cm (c) 7 cm (d) 6 cm
  39. 39.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 40 sq cm (c) 50 sq cm (d) 28 sq cm
  40. 40.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 120 sq cm (c) 25 sq cm (d) 100 sq cm

Answer key

  1. 50 cm
  2. 6 cm
  3. 3 cm
  4. 36 sq cm
  5. 196 sq cm
  6. 121 sq cm
  7. 6 cm
  8. 144 sq cm
  9. 38 cm
  10. 169 sq cm
  11. 90 sq cm
  12. 100 sq cm
  13. 60 sq cm
  14. 10 cm
  15. 91 sq cm
  16. 99 sq cm
  17. 64 sq cm
  18. 26 cm
  19. 24 sq cm
  20. 18 sq cm
  21. 11 cm
  22. 120 sq cm
  23. 34 cm
  24. 49 sq cm
  25. 22 cm
  26. 192 sq cm
  27. 44 cm
  28. 62 cm
  29. 38 sq cm
  30. 25 sq cm
  31. 18 sq cm
  32. 64 sq cm
  33. 30 sq cm
  34. 54 cm
  35. 24 cm
  36. 35 sq cm
  37. 120 sq cm
  38. 6 cm
  39. 40 sq cm
  40. 100 sq cm

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