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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 158 · 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 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
  2. 2.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
  3. 3.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  4. 4.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 72 cm (d) 40 cm
  5. 5.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 38 cm (d) 42 cm
  6. 6.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 19 cm (c) 3 cm (d) 2 cm
  7. 7.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 195 sq cm (d) 180 sq cm
  8. 8.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  9. 9.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 48 cm (d) 14 cm
  10. 10.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 22 cm (c) 12 cm (d) 11 cm
  11. 11.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 180 cm
  12. 12.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 44 cm (d) 30 cm
  13. 13.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 18 cm
  14. 14.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 50 cm (b) 114 cm (c) 25 cm (d) 44 cm
  15. 15.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 60 cm (c) 38 cm (d) 19 cm
  16. 16.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 63 cm (c) 32 cm (d) 16 cm
  17. 17.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 56 cm (b) 48 cm (c) 160 cm (d) 28 cm
  18. 18.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 26 cm (c) 42 cm (d) 13 cm
  19. 19.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 2 cm (c) 4 cm (d) 3 cm
  20. 20.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 136 cm (c) 10 cm (d) 18 cm
  21. 21.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 32 cm (b) 42 cm (c) 110 cm (d) 21 cm
  22. 22.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 18 cm (d) 9 cm
  23. 23.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 21 sq cm (c) 68 sq cm (d) 42 sq cm
  24. 24.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 18 cm (c) 128 cm (d) 9 cm
  25. 25.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 143 sq cm (d) 130 sq cm
  26. 26.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 72 sq cm (d) 54 sq cm
  27. 27.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 36 cm (c) 5 cm (d) 4 cm
  28. 28.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 152 cm (b) 54 cm (c) 46 cm (d) 27 cm
  29. 29.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 117 cm (c) 11 cm (d) 20 cm
  30. 30.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
  31. 31.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
  32. 32.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 31 cm (b) 38 cm (c) 19 cm (d) 84 cm
  33. 33.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 165 sq cm (b) 25 sq cm (c) 50 sq cm (d) 150 sq cm
  34. 34.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 32 sq cm (d) 24 sq cm
  35. 35.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 16 sq cm (c) 32 sq cm (d) 60 sq cm
  36. 36.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 20 cm (c) 40 cm (d) 36 cm
  37. 37.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 30 cm (c) 60 cm (d) 200 cm
  38. 38.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 24 cm (c) 13 cm (d) 12 cm
  39. 39.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 96 cm (c) 9 cm (d) 10 cm
  40. 40.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 18 cm (c) 33 cm (d) 36 cm

Answer key

  1. 100 sq cm
  2. 121 sq cm
  3. 36 sq cm
  4. 44 cm
  5. 42 cm
  6. 2 cm
  7. 180 sq cm
  8. 225 sq cm
  9. 28 cm
  10. 11 cm
  11. 10 cm
  12. 30 cm
  13. 3 cm
  14. 50 cm
  15. 38 cm
  16. 32 cm
  17. 56 cm
  18. 26 cm
  19. 2 cm
  20. 9 cm
  21. 42 cm
  22. 18 cm
  23. 68 sq cm
  24. 9 cm
  25. 130 sq cm
  26. 54 sq cm
  27. 4 cm
  28. 54 cm
  29. 10 cm
  30. 81 sq cm
  31. 64 sq cm
  32. 38 cm
  33. 150 sq cm
  34. 24 sq cm
  35. 60 sq cm
  36. 40 cm
  37. 60 cm
  38. 12 cm
  39. 9 cm
  40. 36 cm

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