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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 225 · 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 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  2. 2.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 13 cm (c) 3 cm (d) 2 cm
  3. 3.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  4. 4.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 52 cm (b) 240 cm (c) 32 cm (d) 64 cm
  5. 5.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 30 sq cm (c) 39 sq cm (d) 15 sq cm
  6. 6.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 81 sq cm (d) 16 sq cm
  7. 7.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
  8. 8.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 14 cm (d) 12 cm
  9. 9.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 5 cm (c) 6 cm (d) 10 cm
  10. 10.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
  11. 11.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 198 sq cm (b) 29 sq cm (c) 216 sq cm (d) 58 sq cm
  12. 12.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 4 cm (c) 26 cm (d) 3 cm
  13. 13.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 15 sq cm (c) 48 sq cm (d) 30 sq cm
  14. 14.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 34 sq cm (b) 65 sq cm (c) 52 sq cm (d) 17 sq cm
  15. 15.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 78 sq cm (c) 65 sq cm (d) 36 sq cm
  16. 16.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 38 cm
  17. 17.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 30 cm (c) 15 cm (d) 26 cm
  18. 18.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 171 cm
  19. 19.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 100 sq cm (d) 20 sq cm
  20. 20.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 85 cm (b) 6 cm (c) 12 cm (d) 7 cm
  21. 21.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 36 cm (d) 26 cm
  22. 22.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 35 cm (b) 48 cm (c) 38 cm (d) 19 cm
  23. 23.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 8 cm (c) 51 cm (d) 4 cm
  24. 24.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 24 cm (d) 10 cm
  25. 25.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 18 cm (c) 33 cm (d) 36 cm
  26. 26.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 8 sq cm (d) 12 sq cm
  27. 27.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 96 sq cm (c) 21 sq cm (d) 42 sq cm
  28. 28.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 126 sq cm (b) 48 sq cm (c) 24 sq cm (d) 108 sq cm
  29. 29.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 96 cm (c) 14 cm (d) 8 cm
  30. 30.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 12 cm (c) 27 cm (d) 24 cm
  31. 31.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 29 cm (b) 190 cm (c) 58 cm (d) 48 cm
  32. 32.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
  33. 33.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 16 cm (d) 20 cm
  34. 34.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 54 sq cm (b) 140 sq cm (c) 27 sq cm (d) 160 sq cm
  35. 35.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 26 cm (c) 15 cm (d) 30 cm
  36. 36.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 40 cm (c) 5 cm (d) 6 cm
  37. 37.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 24 cm (c) 128 cm (d) 48 cm
  38. 38.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 60 sq cm (d) 45 sq cm
  39. 39.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 204 sq cm (b) 221 sq cm (c) 58 sq cm (d) 29 sq cm
  40. 40.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 7 cm (c) 8 cm (d) 14 cm

Answer key

  1. 27 sq cm
  2. 2 cm
  3. 36 sq cm
  4. 64 cm
  5. 26 sq cm
  6. 64 sq cm
  7. 49 sq cm
  8. 16 cm
  9. 5 cm
  10. 196 sq cm
  11. 198 sq cm
  12. 3 cm
  13. 36 sq cm
  14. 52 sq cm
  15. 65 sq cm
  16. 3 cm
  17. 30 cm
  18. 10 cm
  19. 100 sq cm
  20. 6 cm
  21. 26 cm
  22. 38 cm
  23. 4 cm
  24. 20 cm
  25. 36 cm
  26. 12 sq cm
  27. 80 sq cm
  28. 108 sq cm
  29. 7 cm
  30. 24 cm
  31. 58 cm
  32. 12 cm
  33. 20 cm
  34. 140 sq cm
  35. 30 cm
  36. 5 cm
  37. 48 cm
  38. 45 sq cm
  39. 204 sq cm
  40. 7 cm

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