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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 291 · 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 square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  2. 2.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 180 sq cm (c) 58 sq cm (d) 200 sq cm
  3. 3.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 42 sq cm (c) 98 sq cm (d) 21 sq cm
  4. 4.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 13 cm (c) 12 cm (d) 24 cm
  5. 5.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
  6. 6.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 48 cm (d) 28 cm
  7. 7.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 36 cm (d) 26 cm
  8. 8.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  9. 9.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 110 sq cm (c) 40 sq cm (d) 99 sq cm
  10. 10.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  11. 11.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 136 cm (d) 42 cm
  12. 12.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 120 cm
  13. 13.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 40 cm (b) 6 cm (c) 4 cm (d) 3 cm
  14. 14.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 99 cm (b) 40 cm (c) 20 cm (d) 31 cm
  15. 15.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 49 sq cm (c) 13 sq cm (d) 26 sq cm
  16. 16.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 209 sq cm (c) 228 sq cm (d) 30 sq cm
  17. 17.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  18. 18.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 18 cm (c) 36 cm (d) 34 cm
  19. 19.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 24 cm (d) 13 cm
  20. 20.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
  21. 21.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 18 sq cm (d) 12 sq cm
  22. 22.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 204 sq cm (b) 58 sq cm (c) 221 sq cm (d) 29 sq cm
  23. 23.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
  24. 24.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 170 cm (c) 12 cm (d) 11 cm
  25. 25.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 14 cm (c) 7 cm (d) 8 cm
  26. 26.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 198 sq cm (c) 216 sq cm (d) 29 sq cm
  27. 27.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  28. 28.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 80 sq cm (d) 96 sq cm
  29. 29.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 24 sq cm (d) 9 sq cm
  30. 30.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 72 sq cm (c) 18 sq cm (d) 36 sq cm
  31. 31.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 10 cm (d) 20 cm
  32. 32.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 11 sq cm (d) 22 sq cm
  33. 33.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 54 sq cm (d) 72 sq cm
  34. 34.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 40 cm (c) 7 cm (d) 12 cm
  35. 35.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 72 cm (b) 36 cm (c) 18 cm (d) 30 cm
  36. 36.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 60 sq cm (d) 30 sq cm
  37. 37.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
  38. 38.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 200 cm (b) 30 cm (c) 50 cm (d) 60 cm
  39. 39.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 12 cm (d) 24 cm
  40. 40.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 17 sq cm (c) 34 sq cm (d) 81 sq cm

Answer key

  1. 64 sq cm
  2. 180 sq cm
  3. 98 sq cm
  4. 12 cm
  5. 81 sq cm
  6. 32 cm
  7. 26 cm
  8. 196 sq cm
  9. 99 sq cm
  10. 36 sq cm
  11. 50 cm
  12. 7 cm
  13. 3 cm
  14. 40 cm
  15. 42 sq cm
  16. 209 sq cm
  17. 169 sq cm
  18. 36 cm
  19. 26 cm
  20. 121 sq cm
  21. 12 sq cm
  22. 204 sq cm
  23. 65 sq cm
  24. 11 cm
  25. 7 cm
  26. 198 sq cm
  27. 144 sq cm
  28. 80 sq cm
  29. 18 sq cm
  30. 72 sq cm
  31. 20 cm
  32. 30 sq cm
  33. 54 sq cm
  34. 6 cm
  35. 36 cm
  36. 225 sq cm
  37. 49 sq cm
  38. 60 cm
  39. 24 cm
  40. 72 sq cm

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