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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 991 · 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 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 42 sq cm (c) 21 sq cm (d) 110 sq cm
  2. 2.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 77 cm
  3. 3.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
  4. 4.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 12 cm (c) 11 cm (d) 22 cm
  5. 5.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
  6. 6.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 112 sq cm (c) 128 sq cm (d) 23 sq cm
  7. 7.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 24 sq cm (d) 19 sq cm
  8. 8.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 11 sq cm (d) 30 sq cm
  9. 9.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 14 sq cm (d) 48 sq cm
  10. 10.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
  11. 11.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
  12. 12.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 8 sq cm (c) 16 sq cm (d) 18 sq cm
  13. 13.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 21 cm (c) 27 cm (d) 12 cm
  14. 14.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
  15. 15.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 24 cm (c) 12 cm (d) 20 cm
  16. 16.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
  17. 17.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 84 sq cm (c) 70 sq cm (d) 19 sq cm
  18. 18.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 10 cm (d) 16 cm
  19. 19.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 16 cm (c) 28 cm (d) 32 cm
  20. 20.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 8 cm (c) 14 cm (d) 7 cm
  21. 21.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
  22. 22.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 48 sq cm (c) 18 sq cm (d) 32 sq cm
  23. 23.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 126 cm (b) 37 cm (c) 46 cm (d) 23 cm
  24. 24.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 12 cm (c) 3 cm (d) 6 cm
  25. 25.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 133 sq cm (b) 26 sq cm (c) 152 sq cm (d) 52 sq cm
  26. 26.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 78 cm (b) 19 cm (c) 38 cm (d) 32 cm
  27. 27.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 10 cm (c) 40 cm (d) 5 cm
  28. 28.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 28 sq cm (d) 35 sq cm
  29. 29.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 90 cm (c) 29 cm (d) 38 cm
  30. 30.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 36 cm (d) 64 cm
  31. 31.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 228 cm (c) 62 cm (d) 31 cm
  32. 32.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 16 cm (d) 8 cm
  33. 33.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
  34. 34.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 20 sq cm (c) 10 sq cm (d) 24 sq cm
  35. 35.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 45 cm (c) 6 cm (d) 12 cm
  36. 36.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 31 cm (c) 42 cm (d) 34 cm
  37. 37.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 26 cm (c) 16 cm (d) 60 cm
  38. 38.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 187 sq cm (d) 204 sq cm
  39. 39.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 114 cm (b) 14 cm (c) 8 cm (d) 7 cm
  40. 40.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 2 cm (c) 15 cm (d) 3 cm

Answer key

  1. 110 sq cm
  2. 8 cm
  3. 196 sq cm
  4. 11 cm
  5. 64 sq cm
  6. 112 sq cm
  7. 18 sq cm
  8. 30 sq cm
  9. 48 sq cm
  10. 11 cm
  11. 225 sq cm
  12. 12 sq cm
  13. 24 cm
  14. 100 sq cm
  15. 24 cm
  16. 36 sq cm
  17. 70 sq cm
  18. 20 cm
  19. 32 cm
  20. 7 cm
  21. 121 sq cm
  22. 32 sq cm
  23. 46 cm
  24. 3 cm
  25. 133 sq cm
  26. 38 cm
  27. 5 cm
  28. 28 sq cm
  29. 38 cm
  30. 40 cm
  31. 62 cm
  32. 16 cm
  33. 169 sq cm
  34. 16 sq cm
  35. 6 cm
  36. 34 cm
  37. 32 cm
  38. 187 sq cm
  39. 7 cm
  40. 2 cm

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