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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 889 · 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 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 16 cm
  2. 2.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
  3. 3.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 256 sq cm (d) 30 sq cm
  4. 4.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 57 sq cm (c) 76 sq cm (d) 22 sq cm
  5. 5.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
  6. 6.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
  7. 7.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 42 sq cm (c) 49 sq cm (d) 13 sq cm
  8. 8.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 44 cm (b) 10 cm (c) 6 cm (d) 5 cm
  9. 9.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 96 sq cm (c) 40 sq cm (d) 108 sq cm
  10. 10.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 70 sq cm (c) 34 sq cm (d) 80 sq cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
  12. 12.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 162 sq cm (c) 27 sq cm (d) 180 sq cm
  13. 13.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 30 sq cm (c) 24 sq cm (d) 20 sq cm
  14. 14.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 136 sq cm (d) 119 sq cm
  15. 15.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 27 cm (c) 15 cm (d) 36 cm
  16. 16.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 44 cm (c) 27 cm (d) 54 cm
  17. 17.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 24 sq cm (c) 32 sq cm (d) 11 sq cm
  18. 18.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 50 cm (d) 200 cm
  19. 19.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 72 sq cm (c) 36 sq cm (d) 84 sq cm
  20. 20.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  21. 21.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 54 sq cm (c) 72 sq cm (d) 21 sq cm
  22. 22.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
  23. 23.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 16 sq cm (d) 20 sq cm
  24. 24.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 220 cm
  25. 25.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 19 cm (b) 88 cm (c) 38 cm (d) 30 cm
  26. 26.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 117 cm (c) 20 cm (d) 10 cm
  27. 27.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 65 cm (b) 31 cm (c) 18 cm (d) 36 cm
  28. 28.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 30 cm (c) 3 cm (d) 6 cm
  29. 29.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
  30. 30.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 28 sq cm (d) 22 sq cm
  31. 31.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 77 sq cm (c) 88 sq cm (d) 18 sq cm
  32. 32.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 34 cm (c) 60 cm (d) 17 cm
  33. 33.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 56 cm (c) 28 cm (d) 160 cm
  34. 34.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 133 cm
  35. 35.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 108 sq cm (b) 24 sq cm (c) 48 sq cm (d) 126 sq cm
  36. 36.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 27 sq cm
  37. 37.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 8 cm (c) 12 cm (d) 16 cm
  38. 38.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 1 cm (c) 4 cm (d) 3 cm
  39. 39.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
  40. 40.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 30 cm (c) 49 cm (d) 60 cm

Answer key

  1. 3 cm
  2. 18 sq cm
  3. 225 sq cm
  4. 57 sq cm
  5. 121 sq cm
  6. 25 sq cm
  7. 42 sq cm
  8. 5 cm
  9. 96 sq cm
  10. 70 sq cm
  11. 100 sq cm
  12. 162 sq cm
  13. 20 sq cm
  14. 119 sq cm
  15. 30 cm
  16. 54 cm
  17. 24 sq cm
  18. 60 cm
  19. 72 sq cm
  20. 81 sq cm
  21. 54 sq cm
  22. 64 sq cm
  23. 16 sq cm
  24. 12 cm
  25. 38 cm
  26. 10 cm
  27. 36 cm
  28. 3 cm
  29. 196 sq cm
  30. 28 sq cm
  31. 77 sq cm
  32. 34 cm
  33. 56 cm
  34. 8 cm
  35. 108 sq cm
  36. 27 sq cm
  37. 16 cm
  38. 2 cm
  39. 144 sq cm
  40. 60 cm

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