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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 299 · 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 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  2. 2.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 5 cm (c) 72 cm (d) 6 cm
  3. 3.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 24 cm (c) 20 cm (d) 12 cm
  4. 4.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
  5. 5.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 80 sq cm (d) 70 sq cm
  6. 6.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
  7. 7.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 56 cm (c) 32 cm (d) 36 cm
  8. 8.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 180 sq cm (c) 29 sq cm (d) 58 sq cm
  9. 9.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
  10. 10.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 77 cm (d) 29 cm
  11. 11.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 36 sq cm (d) 30 sq cm
  12. 12.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 6 cm (c) 5 cm (d) 10 cm
  13. 13.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 143 cm (b) 24 cm (c) 48 cm (d) 37 cm
  14. 14.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 33 sq cm (d) 22 sq cm
  15. 15.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  16. 16.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 21 cm (d) 40 cm
  17. 17.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 135 cm
  18. 18.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 32 sq cm (c) 16 sq cm (d) 52 sq cm
  19. 19.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 132 sq cm (c) 23 sq cm (d) 46 sq cm
  20. 20.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 96 cm (c) 44 cm (d) 22 cm
  21. 21.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 120 sq cm (c) 108 sq cm (d) 21 sq cm
  22. 22.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 81 sq cm (d) 32 sq cm
  23. 23.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 135 sq cm (b) 48 sq cm (c) 24 sq cm (d) 150 sq cm
  24. 24.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
  25. 25.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 28 cm (d) 18 cm
  26. 26.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 22 sq cm (d) 11 sq cm
  27. 27.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 112 cm (d) 36 cm
  28. 28.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 40 sq cm (c) 26 sq cm (d) 30 sq cm
  29. 29.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 22 cm (c) 48 cm (d) 28 cm
  30. 30.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 160 cm
  31. 31.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 80 cm (c) 36 cm (d) 18 cm
  32. 32.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
  33. 33.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 11 cm (c) 22 cm (d) 30 cm
  34. 34.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 24 sq cm (c) 19 sq cm (d) 9 sq cm
  35. 35.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 28 sq cm (c) 14 sq cm (d) 50 sq cm
  36. 36.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 160 cm (c) 56 cm (d) 48 cm
  37. 37.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 44 sq cm (c) 117 sq cm (d) 22 sq cm
  38. 38.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 140 cm (c) 8 cm (d) 16 cm
  39. 39.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
  40. 40.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 5 cm (c) 51 cm (d) 4 cm

Answer key

  1. 25 sq cm
  2. 5 cm
  3. 24 cm
  4. 121 sq cm
  5. 70 sq cm
  6. 81 sq cm
  7. 36 cm
  8. 180 sq cm
  9. 169 sq cm
  10. 36 cm
  11. 30 sq cm
  12. 5 cm
  13. 48 cm
  14. 22 sq cm
  15. 49 sq cm
  16. 26 cm
  17. 10 cm
  18. 39 sq cm
  19. 132 sq cm
  20. 44 cm
  21. 108 sq cm
  22. 64 sq cm
  23. 135 sq cm
  24. 196 sq cm
  25. 22 cm
  26. 24 sq cm
  27. 44 cm
  28. 30 sq cm
  29. 28 cm
  30. 9 cm
  31. 36 cm
  32. 225 sq cm
  33. 22 cm
  34. 18 sq cm
  35. 40 sq cm
  36. 56 cm
  37. 117 sq cm
  38. 8 cm
  39. 56 cm
  40. 4 cm

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