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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 262 · 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 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 17 cm (d) 30 cm
  2. 2.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 45 cm (c) 7 cm (d) 12 cm
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
  4. 4.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  5. 5.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 48 sq cm (c) 13 sq cm (d) 40 sq cm
  6. 6.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  7. 7.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 16 cm (c) 98 cm (d) 9 cm
  8. 8.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 22 cm (d) 12 cm
  9. 9.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  10. 10.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 99 cm (b) 20 cm (c) 40 cm (d) 31 cm
  11. 11.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 12 cm (c) 130 cm (d) 11 cm
  12. 12.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 90 cm
  13. 13.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 176 cm (c) 13 cm (d) 24 cm
  14. 14.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 168 sq cm (b) 50 sq cm (c) 154 sq cm (d) 25 sq cm
  15. 15.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 14 cm (c) 8 cm (d) 16 cm
  16. 16.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
  17. 17.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 56 sq cm (c) 64 sq cm (d) 30 sq cm
  18. 18.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 15 cm (c) 27 cm (d) 30 cm
  19. 19.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
  20. 20.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 16 sq cm (d) 60 sq cm
  21. 21.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 32 sq cm (d) 12 sq cm
  22. 22.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 28 sq cm (c) 187 sq cm (d) 56 sq cm
  23. 23.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 34 cm (c) 32 cm (d) 36 cm
  24. 24.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 2 cm (c) 4 cm (d) 3 cm
  25. 25.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 10 cm (c) 17 cm (d) 20 cm
  26. 26.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 36 sq cm (d) 18 sq cm
  27. 27.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 40 sq cm (d) 30 sq cm
  28. 28.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 3 cm (c) 2 cm (d) 4 cm
  29. 29.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 140 sq cm (c) 24 sq cm (d) 154 sq cm
  30. 30.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 28 sq cm (c) 171 sq cm (d) 56 sq cm
  31. 31.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 30 sq cm (c) 22 sq cm (d) 36 sq cm
  32. 32.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  33. 33.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 36 sq cm (c) 30 sq cm (d) 48 sq cm
  34. 34.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 62 sq cm (b) 240 sq cm (c) 31 sq cm (d) 220 sq cm
  35. 35.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  36. 36.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 27 sq cm (c) 36 sq cm (d) 24 sq cm
  37. 37.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 78 sq cm (c) 91 sq cm (d) 19 sq cm
  38. 38.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 36 cm (c) 6 cm (d) 10 cm
  39. 39.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
  40. 40.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 28 cm (d) 48 cm

Answer key

  1. 22 cm
  2. 6 cm
  3. 49 sq cm
  4. 121 sq cm
  5. 40 sq cm
  6. 169 sq cm
  7. 8 cm
  8. 24 cm
  9. 25 sq cm
  10. 40 cm
  11. 11 cm
  12. 6 cm
  13. 12 cm
  14. 154 sq cm
  15. 16 cm
  16. 24 sq cm
  17. 56 sq cm
  18. 30 cm
  19. 45 sq cm
  20. 48 sq cm
  21. 32 sq cm
  22. 187 sq cm
  23. 36 cm
  24. 2 cm
  25. 20 cm
  26. 81 sq cm
  27. 30 sq cm
  28. 2 cm
  29. 140 sq cm
  30. 171 sq cm
  31. 30 sq cm
  32. 36 sq cm
  33. 36 sq cm
  34. 220 sq cm
  35. 64 sq cm
  36. 27 sq cm
  37. 78 sq cm
  38. 5 cm
  39. 196 sq cm
  40. 32 cm

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