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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 461 · 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 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 117 sq cm (d) 104 sq cm
  2. 2.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 14 sq cm (c) 48 sq cm (d) 28 sq cm
  3. 3.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 70 cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  5. 5.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 95 cm (b) 43 cm (c) 24 cm (d) 48 cm
  6. 6.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
  7. 7.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
  8. 8.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 21 sq cm (c) 42 sq cm (d) 68 sq cm
  9. 9.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 42 sq cm (d) 35 sq cm
  10. 10.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 45 sq cm (d) 54 sq cm
  11. 11.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 37 cm (b) 126 cm (c) 23 cm (d) 46 cm
  12. 12.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 20 cm (d) 22 cm
  13. 13.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 45 cm (d) 133 cm
  14. 14.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 80 sq cm (c) 60 sq cm (d) 23 sq cm
  15. 15.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
  16. 16.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 24 sq cm (d) 20 sq cm
  17. 17.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 11 sq cm (c) 35 sq cm (d) 22 sq cm
  18. 18.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 33 cm (c) 18 cm (d) 36 cm
  19. 19.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
  20. 20.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 2 cm (b) 4 cm (c) 7 cm (d) 3 cm
  21. 21.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 63 cm (b) 8 cm (c) 9 cm (d) 16 cm
  22. 22.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 14 cm
  23. 23.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 13 cm (d) 23 cm
  24. 24.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 204 sq cm (c) 187 sq cm (d) 28 sq cm
  25. 25.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 15 cm (c) 23 cm (d) 30 cm
  26. 26.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
  27. 27.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 48 sq cm (c) 26 sq cm (d) 40 sq cm
  28. 28.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
  29. 29.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 23 cm (b) 120 cm (c) 38 cm (d) 46 cm
  30. 30.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
  31. 31.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 256 sq cm (d) 30 sq cm
  32. 32.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 50 sq cm (c) 25 sq cm (d) 114 sq cm
  33. 33.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 52 sq cm (c) 39 sq cm (d) 16 sq cm
  34. 34.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 13 cm (c) 209 cm (d) 12 cm
  35. 35.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 40 sq cm (c) 68 sq cm (d) 20 sq cm
  36. 36.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 31 cm (b) 20 cm (c) 99 cm (d) 40 cm
  37. 37.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 126 cm
  38. 38.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 88 sq cm (c) 77 sq cm (d) 18 sq cm
  39. 39.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 198 cm (c) 24 cm (d) 12 cm
  40. 40.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 5 cm (c) 15 cm (d) 8 cm

Answer key

  1. 104 sq cm
  2. 48 sq cm
  3. 6 cm
  4. 36 sq cm
  5. 48 cm
  6. 49 sq cm
  7. 57 sq cm
  8. 68 sq cm
  9. 35 sq cm
  10. 45 sq cm
  11. 46 cm
  12. 24 cm
  13. 52 cm
  14. 60 sq cm
  15. 64 sq cm
  16. 24 sq cm
  17. 28 sq cm
  18. 36 cm
  19. 121 sq cm
  20. 2 cm
  21. 8 cm
  22. 3 cm
  23. 26 cm
  24. 187 sq cm
  25. 30 cm
  26. 196 sq cm
  27. 40 sq cm
  28. 2 cm
  29. 46 cm
  30. 144 sq cm
  31. 225 sq cm
  32. 114 sq cm
  33. 39 sq cm
  34. 12 cm
  35. 51 sq cm
  36. 40 cm
  37. 10 cm
  38. 77 sq cm
  39. 12 cm
  40. 4 cm

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