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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 229 · 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 has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 10 cm (c) 80 cm (d) 9 cm
  2. 2.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 85 sq cm (d) 68 sq cm
  3. 3.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
  4. 4.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
  5. 5.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  6. 6.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  7. 7.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 18 cm (d) 20 cm
  8. 8.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 27 sq cm (c) 140 sq cm (d) 54 sq cm
  9. 9.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
  10. 10.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 18 cm (c) 9 cm (d) 10 cm
  11. 11.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
  12. 12.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 108 cm
  13. 13.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 35 sq cm (c) 12 sq cm (d) 24 sq cm
  14. 14.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 96 cm (c) 44 cm (d) 38 cm
  15. 15.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  16. 16.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 16 cm (d) 14 cm
  17. 17.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 44 cm (b) 105 cm (c) 22 cm (d) 37 cm
  18. 18.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  19. 19.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 40 cm (c) 25 cm (d) 50 cm
  20. 20.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 19 cm
  21. 21.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 54 sq cm (b) 176 sq cm (c) 27 sq cm (d) 192 sq cm
  22. 22.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
  23. 23.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 8 cm (c) 102 cm (d) 7 cm
  24. 24.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
  25. 25.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
  26. 26.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 27 sq cm (d) 24 sq cm
  27. 27.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 19 sq cm (c) 18 sq cm (d) 24 sq cm
  28. 28.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 12 sq cm (d) 16 sq cm
  29. 29.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 136 cm (b) 25 cm (c) 50 cm (d) 42 cm
  30. 30.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 21 cm (c) 24 cm (d) 27 cm
  31. 31.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 8 cm (c) 16 cm (d) 9 cm
  32. 32.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 20 cm (d) 42 cm
  33. 33.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 88 sq cm (b) 38 sq cm (c) 19 sq cm (d) 99 sq cm
  34. 34.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  35. 35.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 16 cm (c) 60 cm (d) 32 cm
  36. 36.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 44 cm (b) 28 cm (c) 192 cm (d) 56 cm
  37. 37.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 42 cm (d) 31 cm
  38. 38.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 17 cm (c) 34 cm (d) 72 cm
  39. 39.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 168 sq cm (c) 52 sq cm (d) 182 sq cm
  40. 40.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 72 cm (b) 30 cm (c) 18 cm (d) 36 cm

Answer key

  1. 9 cm
  2. 68 sq cm
  3. 18 sq cm
  4. 81 sq cm
  5. 64 sq cm
  6. 225 sq cm
  7. 22 cm
  8. 140 sq cm
  9. 49 sq cm
  10. 9 cm
  11. 121 sq cm
  12. 7 cm
  13. 35 sq cm
  14. 44 cm
  15. 36 sq cm
  16. 18 cm
  17. 44 cm
  18. 196 sq cm
  19. 50 cm
  20. 2 cm
  21. 176 sq cm
  22. 100 sq cm
  23. 7 cm
  24. 91 sq cm
  25. 25 sq cm
  26. 27 sq cm
  27. 18 sq cm
  28. 12 sq cm
  29. 50 cm
  30. 24 cm
  31. 8 cm
  32. 26 cm
  33. 88 sq cm
  34. 169 sq cm
  35. 32 cm
  36. 56 cm
  37. 34 cm
  38. 34 cm
  39. 168 sq cm
  40. 36 cm

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